Finding the Third Proportional to 53,376 and 123,552

Step by Step Solution

1. Step 1: Write the proportion equation
   53,376 : 123,552 = 123,552 : x
2. Step 2: Convert to fraction form
   53,376/123,552 = 123,552/x
3. Step 3: Cross multiply
   53,376x = 123,552 × 123,552
4. Step 4: Simplify right side
   53,376x = 15,265,096,704
5. Step 5: Solve for x
   x = 15,265,096,704/53,376
6. Step 6: Final answer
   x = 285,991.77