Finding the Third Proportional to 264,506 and 402,295.50

Step by Step Solution

1. Step 1: Write the proportion equation
   264,506 : 402,295.50 = 402,295.50 : x
2. Step 2: Convert to fraction form
   264,506/402,295.50 = 402,295.50/x
3. Step 3: Cross multiply
   264,506x = 402,295.50 × 402,295.50
4. Step 4: Simplify right side
   264,506x = 161,841,669,320.25
5. Step 5: Solve for x
   x = 161,841,669,320.25/264,506
6. Step 6: Final answer
   x = 611,863.89