Finding the Third Proportional to 341,665,340.50 and 510,259,107.50

Step by Step Solution

1. Step 1: Write the proportion equation
   341,665,340.50 : 510,259,107.50 = 510,259,107.50 : x
2. Step 2: Convert to fraction form
   341,665,340.50/510,259,107.50 = 510,259,107.50/x
3. Step 3: Cross multiply
   341,665,340.50x = 510,259,107.50 × 510,259,107.50
4. Step 4: Simplify right side
   341,665,340.50x = 260,364,356,786,696,544
5. Step 5: Solve for x
   x = 260,364,356,786,696,544/341,665,340.50
6. Step 6: Final answer
   x = 762,044,977.71