Finding the Third Proportional to 72,311 and 108,082

Step by Step Solution

1. Step 1: Write the proportion equation
   72,311 : 108,082 = 108,082 : x
2. Step 2: Convert to fraction form
   72,311/108,082 = 108,082/x
3. Step 3: Cross multiply
   72,311x = 108,082 × 108,082
4. Step 4: Simplify right side
   72,311x = 11,681,718,724
5. Step 5: Solve for x
   x = 11,681,718,724/72,311
6. Step 6: Final answer
   x = 161,548.29