Finding the Third Proportional to 262,081 and 392,710.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,081 : 392,710.50 = 392,710.50 : x
2. Step 2: Convert to fraction form
   262,081/392,710.50 = 392,710.50/x
3. Step 3: Cross multiply
   262,081x = 392,710.50 × 392,710.50
4. Step 4: Simplify right side
   262,081x = 154,221,536,810.25
5. Step 5: Solve for x
   x = 154,221,536,810.25/262,081
6. Step 6: Final answer
   x = 588,449.89