Finding the Third Proportional to 55,218 and 83,853

Step by Step Solution

1. Step 1: Write the proportion equation
   55,218 : 83,853 = 83,853 : x
2. Step 2: Convert to fraction form
   55,218/83,853 = 83,853/x
3. Step 3: Cross multiply
   55,218x = 83,853 × 83,853
4. Step 4: Simplify right side
   55,218x = 7,031,325,609
5. Step 5: Solve for x
   x = 7,031,325,609/55,218
6. Step 6: Final answer
   x = 127,337.56