Finding the Third Proportional to 590,976 and 865,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   590,976 : 865,498.50 = 865,498.50 : x
2. Step 2: Convert to fraction form
   590,976/865,498.50 = 865,498.50/x
3. Step 3: Cross multiply
   590,976x = 865,498.50 × 865,498.50
4. Step 4: Simplify right side
   590,976x = 749,087,653,502.25
5. Step 5: Solve for x
   x = 749,087,653,502.25/590,976
6. Step 6: Final answer
   x = 1,267,543.27