Finding the Third Proportional to 127,782 and 200,046

Step by Step Solution

1. Step 1: Write the proportion equation
   127,782 : 200,046 = 200,046 : x
2. Step 2: Convert to fraction form
   127,782/200,046 = 200,046/x
3. Step 3: Cross multiply
   127,782x = 200,046 × 200,046
4. Step 4: Simplify right side
   127,782x = 40,018,402,116
5. Step 5: Solve for x
   x = 40,018,402,116/127,782
6. Step 6: Final answer
   x = 313,177.15