Finding the Third Proportional to 49,432 and 116,638

Step by Step Solution

1. Step 1: Write the proportion equation
   49,432 : 116,638 = 116,638 : x
2. Step 2: Convert to fraction form
   49,432/116,638 = 116,638/x
3. Step 3: Cross multiply
   49,432x = 116,638 × 116,638
4. Step 4: Simplify right side
   49,432x = 13,604,423,044
5. Step 5: Solve for x
   x = 13,604,423,044/49,432
6. Step 6: Final answer
   x = 275,214.90