Finding the Third Proportional to 264,096,716,826 and 580,075,992,265.50

Step by Step Solution

1. Step 1: Write the proportion equation
   264,096,716,826 : 580,075,992,265.50 = 580,075,992,265.50 : x
2. Step 2: Convert to fraction form
   264,096,716,826/580,075,992,265.50 = 580,075,992,265.50/x
3. Step 3: Cross multiply
   264,096,716,826x = 580,075,992,265.50 × 580,075,992,265.50
4. Step 4: Simplify right side
   264,096,716,826x = 336,488,156,802,804,388,724,736
5. Step 5: Solve for x
   x = 336,488,156,802,804,388,724,736/264,096,716,826
6. Step 6: Final answer
   x = 1,274,109,579,425.40