Finding the Third Proportional to 56,164 and 123,560

Step by Step Solution

1. Step 1: Write the proportion equation
   56,164 : 123,560 = 123,560 : x
2. Step 2: Convert to fraction form
   56,164/123,560 = 123,560/x
3. Step 3: Cross multiply
   56,164x = 123,560 × 123,560
4. Step 4: Simplify right side
   56,164x = 15,267,073,600
5. Step 5: Solve for x
   x = 15,267,073,600/56,164
6. Step 6: Final answer
   x = 271,830.24