Finding the Third Proportional to 56,598 and 123,564

Step by Step Solution

1. Step 1: Write the proportion equation
   56,598 : 123,564 = 123,564 : x
2. Step 2: Convert to fraction form
   56,598/123,564 = 123,564/x
3. Step 3: Cross multiply
   56,598x = 123,564 × 123,564
4. Step 4: Simplify right side
   56,598x = 15,268,062,096
5. Step 5: Solve for x
   x = 15,268,062,096/56,598
6. Step 6: Final answer
   x = 269,763.28