Finding the Third Proportional to 45,634 and 98,082

Step by Step Solution

1. Step 1: Write the proportion equation
   45,634 : 98,082 = 98,082 : x
2. Step 2: Convert to fraction form
   45,634/98,082 = 98,082/x
3. Step 3: Cross multiply
   45,634x = 98,082 × 98,082
4. Step 4: Simplify right side
   45,634x = 9,620,078,724
5. Step 5: Solve for x
   x = 9,620,078,724/45,634
6. Step 6: Final answer
   x = 210,809.46