Finding the Third Proportional to 82,176.75 and 109,732.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,176.75 : 109,732.50 = 109,732.50 : x
2. Step 2: Convert to fraction form
   82,176.75/109,732.50 = 109,732.50/x
3. Step 3: Cross multiply
   82,176.75x = 109,732.50 × 109,732.50
4. Step 4: Simplify right side
   82,176.75x = 12,041,221,556.25
5. Step 5: Solve for x
   x = 12,041,221,556.25/82,176.75
6. Step 6: Final answer
   x = 146,528.33