Finding the Third Proportional to 81,742.50 and 124,987.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,742.50 : 124,987.50 = 124,987.50 : x
2. Step 2: Convert to fraction form
   81,742.50/124,987.50 = 124,987.50/x
3. Step 3: Cross multiply
   81,742.50x = 124,987.50 × 124,987.50
4. Step 4: Simplify right side
   81,742.50x = 15,621,875,156.25
5. Step 5: Solve for x
   x = 15,621,875,156.25/81,742.50
6. Step 6: Final answer
   x = 191,110.81