Finding the Third Proportional to 45,839 and 99,082

Step by Step Solution

1. Step 1: Write the proportion equation
   45,839 : 99,082 = 99,082 : x
2. Step 2: Convert to fraction form
   45,839/99,082 = 99,082/x
3. Step 3: Cross multiply
   45,839x = 99,082 × 99,082
4. Step 4: Simplify right side
   45,839x = 9,817,242,724
5. Step 5: Solve for x
   x = 9,817,242,724/45,839
6. Step 6: Final answer
   x = 214,167.91