Finding the Third Proportional to 264,508 and 402,298.50

Step by Step Solution

1. Step 1: Write the proportion equation
   264,508 : 402,298.50 = 402,298.50 : x
2. Step 2: Convert to fraction form
   264,508/402,298.50 = 402,298.50/x
3. Step 3: Cross multiply
   264,508x = 402,298.50 × 402,298.50
4. Step 4: Simplify right side
   264,508x = 161,844,083,102.25
5. Step 5: Solve for x
   x = 161,844,083,102.25/264,508
6. Step 6: Final answer
   x = 611,868.39