Finding the Third Proportional to 56,178 and 123,654

Step by Step Solution

1. Step 1: Write the proportion equation
   56,178 : 123,654 = 123,654 : x
2. Step 2: Convert to fraction form
   56,178/123,654 = 123,654/x
3. Step 3: Cross multiply
   56,178x = 123,654 × 123,654
4. Step 4: Simplify right side
   56,178x = 15,290,311,716
5. Step 5: Solve for x
   x = 15,290,311,716/56,178
6. Step 6: Final answer
   x = 272,176.15