Finding the Third Proportional to 264,500 and 402,286.50

Step by Step Solution

1. Step 1: Write the proportion equation
   264,500 : 402,286.50 = 402,286.50 : x
2. Step 2: Convert to fraction form
   264,500/402,286.50 = 402,286.50/x
3. Step 3: Cross multiply
   264,500x = 402,286.50 × 402,286.50
4. Step 4: Simplify right side
   264,500x = 161,834,428,082.25
5. Step 5: Solve for x
   x = 161,834,428,082.25/264,500
6. Step 6: Final answer
   x = 611,850.39