Finding the Third Proportional to 140,092.50 and 209,643

Step by Step Solution

1. Step 1: Write the proportion equation
   140,092.50 : 209,643 = 209,643 : x
2. Step 2: Convert to fraction form
   140,092.50/209,643 = 209,643/x
3. Step 3: Cross multiply
   140,092.50x = 209,643 × 209,643
4. Step 4: Simplify right side
   140,092.50x = 43,950,187,449
5. Step 5: Solve for x
   x = 43,950,187,449/140,092.50
6. Step 6: Final answer
   x = 313,722.63