Finding the Third Proportional to 316,791 and 494,626.50

Step by Step Solution

1. Step 1: Write the proportion equation
   316,791 : 494,626.50 = 494,626.50 : x
2. Step 2: Convert to fraction form
   316,791/494,626.50 = 494,626.50/x
3. Step 3: Cross multiply
   316,791x = 494,626.50 × 494,626.50
4. Step 4: Simplify right side
   316,791x = 244,655,374,502.25
5. Step 5: Solve for x
   x = 244,655,374,502.25/316,791
6. Step 6: Final answer
   x = 772,292.69