Finding the Third Proportional to 59,262 and 83,853

Step by Step Solution

1. Step 1: Write the proportion equation
   59,262 : 83,853 = 83,853 : x
2. Step 2: Convert to fraction form
   59,262/83,853 = 83,853/x
3. Step 3: Cross multiply
   59,262x = 83,853 × 83,853
4. Step 4: Simplify right side
   59,262x = 7,031,325,609
5. Step 5: Solve for x
   x = 7,031,325,609/59,262
6. Step 6: Final answer
   x = 118,648.13