Finding the Third Proportional to 264,497 and 402,281.50

Step by Step Solution

1. Step 1: Write the proportion equation
   264,497 : 402,281.50 = 402,281.50 : x
2. Step 2: Convert to fraction form
   264,497/402,281.50 = 402,281.50/x
3. Step 3: Cross multiply
   264,497x = 402,281.50 × 402,281.50
4. Step 4: Simplify right side
   264,497x = 161,830,405,242.25
5. Step 5: Solve for x
   x = 161,830,405,242.25/264,497
6. Step 6: Final answer
   x = 611,842.12