Finding the Third Proportional to 90,848 and 137,082

Step by Step Solution

1. Step 1: Write the proportion equation
   90,848 : 137,082 = 137,082 : x
2. Step 2: Convert to fraction form
   90,848/137,082 = 137,082/x
3. Step 3: Cross multiply
   90,848x = 137,082 × 137,082
4. Step 4: Simplify right side
   90,848x = 18,791,474,724
5. Step 5: Solve for x
   x = 18,791,474,724/90,848
6. Step 6: Final answer
   x = 206,845.22