Finding the Third Proportional to 56,884 and 123,416

Step by Step Solution

1. Step 1: Write the proportion equation
   56,884 : 123,416 = 123,416 : x
2. Step 2: Convert to fraction form
   56,884/123,416 = 123,416/x
3. Step 3: Cross multiply
   56,884x = 123,416 × 123,416
4. Step 4: Simplify right side
   56,884x = 15,231,509,056
5. Step 5: Solve for x
   x = 15,231,509,056/56,884
6. Step 6: Final answer
   x = 267,764.38