Finding the Third Proportional to 57,186 and 82,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,186 : 82,498.50 = 82,498.50 : x
2. Step 2: Convert to fraction form
   57,186/82,498.50 = 82,498.50/x
3. Step 3: Cross multiply
   57,186x = 82,498.50 × 82,498.50
4. Step 4: Simplify right side
   57,186x = 6,806,002,502.25
5. Step 5: Solve for x
   x = 6,806,002,502.25/57,186
6. Step 6: Final answer
   x = 119,015.19