Finding the Third Proportional to 82,642.50 and 109,138.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,642.50 : 109,138.50 = 109,138.50 : x
2. Step 2: Convert to fraction form
   82,642.50/109,138.50 = 109,138.50/x
3. Step 3: Cross multiply
   82,642.50x = 109,138.50 × 109,138.50
4. Step 4: Simplify right side
   82,642.50x = 11,911,212,182.25
5. Step 5: Solve for x
   x = 11,911,212,182.25/82,642.50
6. Step 6: Final answer
   x = 144,129.38