Finding the Third Proportional to 82,107.50 and 123,525.75

Step by Step Solution

1. Step 1: Write the proportion equation
   82,107.50 : 123,525.75 = 123,525.75 : x
2. Step 2: Convert to fraction form
   82,107.50/123,525.75 = 123,525.75/x
3. Step 3: Cross multiply
   82,107.50x = 123,525.75 × 123,525.75
4. Step 4: Simplify right side
   82,107.50x = 15,258,610,913.06
5. Step 5: Solve for x
   x = 15,258,610,913.06/82,107.50
6. Step 6: Final answer
   x = 185,836.99