Finding the Third Proportional to 264,505 and 402,293.50

Step by Step Solution

1. Step 1: Write the proportion equation
   264,505 : 402,293.50 = 402,293.50 : x
2. Step 2: Convert to fraction form
   264,505/402,293.50 = 402,293.50/x
3. Step 3: Cross multiply
   264,505x = 402,293.50 × 402,293.50
4. Step 4: Simplify right side
   264,505x = 161,840,060,142.25
5. Step 5: Solve for x
   x = 161,840,060,142.25/264,505
6. Step 6: Final answer
   x = 611,860.12