Finding the Third Proportional to 82,713 and 108,153

Step by Step Solution

1. Step 1: Write the proportion equation
   82,713 : 108,153 = 108,153 : x
2. Step 2: Convert to fraction form
   82,713/108,153 = 108,153/x
3. Step 3: Cross multiply
   82,713x = 108,153 × 108,153
4. Step 4: Simplify right side
   82,713x = 11,697,071,409
5. Step 5: Solve for x
   x = 11,697,071,409/82,713
6. Step 6: Final answer
   x = 141,417.57