Finding the Third Proportional to 82,932 and 124,996.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,932 : 124,996.50 = 124,996.50 : x
2. Step 2: Convert to fraction form
   82,932/124,996.50 = 124,996.50/x
3. Step 3: Cross multiply
   82,932x = 124,996.50 × 124,996.50
4. Step 4: Simplify right side
   82,932x = 15,624,125,012.25
5. Step 5: Solve for x
   x = 15,624,125,012.25/82,932
6. Step 6: Final answer
   x = 188,396.82