Finding the Third Proportional to 127,110 and 271,112

Step by Step Solution

1. Step 1: Write the proportion equation
   127,110 : 271,112 = 271,112 : x
2. Step 2: Convert to fraction form
   127,110/271,112 = 271,112/x
3. Step 3: Cross multiply
   127,110x = 271,112 × 271,112
4. Step 4: Simplify right side
   127,110x = 73,501,716,544
5. Step 5: Solve for x
   x = 73,501,716,544/127,110
6. Step 6: Final answer
   x = 578,252.82