Finding the Third Proportional to 53,228 and 83,499

Step by Step Solution

1. Step 1: Write the proportion equation
   53,228 : 83,499 = 83,499 : x
2. Step 2: Convert to fraction form
   53,228/83,499 = 83,499/x
3. Step 3: Cross multiply
   53,228x = 83,499 × 83,499
4. Step 4: Simplify right side
   53,228x = 6,972,083,001
5. Step 5: Solve for x
   x = 6,972,083,001/53,228
6. Step 6: Final answer
   x = 130,985.25