Finding the Third Proportional to 49,854 and 109,428

Step by Step Solution

1. Step 1: Write the proportion equation
   49,854 : 109,428 = 109,428 : x
2. Step 2: Convert to fraction form
   49,854/109,428 = 109,428/x
3. Step 3: Cross multiply
   49,854x = 109,428 × 109,428
4. Step 4: Simplify right side
   49,854x = 11,974,487,184
5. Step 5: Solve for x
   x = 11,974,487,184/49,854
6. Step 6: Final answer
   x = 240,191.10