Finding the Third Proportional to 127,550 and 278,066

Step by Step Solution

1. Step 1: Write the proportion equation
   127,550 : 278,066 = 278,066 : x
2. Step 2: Convert to fraction form
   127,550/278,066 = 278,066/x
3. Step 3: Cross multiply
   127,550x = 278,066 × 278,066
4. Step 4: Simplify right side
   127,550x = 77,320,700,356
5. Step 5: Solve for x
   x = 77,320,700,356/127,550
6. Step 6: Final answer
   x = 606,199.14