Finding the Third Proportional to 264,516 and 402,309.50

Step by Step Solution

1. Step 1: Write the proportion equation
   264,516 : 402,309.50 = 402,309.50 : x
2. Step 2: Convert to fraction form
   264,516/402,309.50 = 402,309.50/x
3. Step 3: Cross multiply
   264,516x = 402,309.50 × 402,309.50
4. Step 4: Simplify right side
   264,516x = 161,852,933,790.25
5. Step 5: Solve for x
   x = 161,852,933,790.25/264,516
6. Step 6: Final answer
   x = 611,883.34