Finding the Third Proportional to 77,401.50 and 158,082

Step by Step Solution

1. Step 1: Write the proportion equation
   77,401.50 : 158,082 = 158,082 : x
2. Step 2: Convert to fraction form
   77,401.50/158,082 = 158,082/x
3. Step 3: Cross multiply
   77,401.50x = 158,082 × 158,082
4. Step 4: Simplify right side
   77,401.50x = 24,989,918,724
5. Step 5: Solve for x
   x = 24,989,918,724/77,401.50
6. Step 6: Final answer
   x = 322,860.91