Finding the Third Proportional to 81,735 and 124,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,735 : 124,978.50 = 124,978.50 : x
2. Step 2: Convert to fraction form
   81,735/124,978.50 = 124,978.50/x
3. Step 3: Cross multiply
   81,735x = 124,978.50 × 124,978.50
4. Step 4: Simplify right side
   81,735x = 15,619,625,462.25
5. Step 5: Solve for x
   x = 15,619,625,462.25/81,735
6. Step 6: Final answer
   x = 191,100.82