Finding the Third Proportional to 72,081 and 157,082

Step by Step Solution

1. Step 1: Write the proportion equation
   72,081 : 157,082 = 157,082 : x
2. Step 2: Convert to fraction form
   72,081/157,082 = 157,082/x
3. Step 3: Cross multiply
   72,081x = 157,082 × 157,082
4. Step 4: Simplify right side
   72,081x = 24,674,754,724
5. Step 5: Solve for x
   x = 24,674,754,724/72,081
6. Step 6: Final answer
   x = 342,319.82