Finding the Third Proportional to 491,222.50 and 781,117

Step by Step Solution

1. Step 1: Write the proportion equation
   491,222.50 : 781,117 = 781,117 : x
2. Step 2: Convert to fraction form
   491,222.50/781,117 = 781,117/x
3. Step 3: Cross multiply
   491,222.50x = 781,117 × 781,117
4. Step 4: Simplify right side
   491,222.50x = 610,143,767,689
5. Step 5: Solve for x
   x = 610,143,767,689/491,222.50
6. Step 6: Final answer
   x = 1,242,092.47