Finding the Third Proportional to 49,294 and 108,428

Step by Step Solution

1. Step 1: Write the proportion equation
   49,294 : 108,428 = 108,428 : x
2. Step 2: Convert to fraction form
   49,294/108,428 = 108,428/x
3. Step 3: Cross multiply
   49,294x = 108,428 × 108,428
4. Step 4: Simplify right side
   49,294x = 11,756,631,184
5. Step 5: Solve for x
   x = 11,756,631,184/49,294
6. Step 6: Final answer
   x = 238,500.25