Finding the Third Proportional to 127,861 and 268,978

Step by Step Solution

1. Step 1: Write the proportion equation
   127,861 : 268,978 = 268,978 : x
2. Step 2: Convert to fraction form
   127,861/268,978 = 268,978/x
3. Step 3: Cross multiply
   127,861x = 268,978 × 268,978
4. Step 4: Simplify right side
   127,861x = 72,349,164,484
5. Step 5: Solve for x
   x = 72,349,164,484/127,861
6. Step 6: Final answer
   x = 565,842.32