Finding the Third Proportional to 127,150 and 186,782

Step by Step Solution

1. Step 1: Write the proportion equation
   127,150 : 186,782 = 186,782 : x
2. Step 2: Convert to fraction form
   127,150/186,782 = 186,782/x
3. Step 3: Cross multiply
   127,150x = 186,782 × 186,782
4. Step 4: Simplify right side
   127,150x = 34,887,515,524
5. Step 5: Solve for x
   x = 34,887,515,524/127,150
6. Step 6: Final answer
   x = 274,380.77