Finding the Third Proportional to 49,396 and 109,466

Step by Step Solution

1. Step 1: Write the proportion equation
   49,396 : 109,466 = 109,466 : x
2. Step 2: Convert to fraction form
   49,396/109,466 = 109,466/x
3. Step 3: Cross multiply
   49,396x = 109,466 × 109,466
4. Step 4: Simplify right side
   49,396x = 11,982,805,156
5. Step 5: Solve for x
   x = 11,982,805,156/49,396
6. Step 6: Final answer
   x = 242,586.55