Finding the Third Proportional to 53,978 and 84,499

Step by Step Solution

1. Step 1: Write the proportion equation
   53,978 : 84,499 = 84,499 : x
2. Step 2: Convert to fraction form
   53,978/84,499 = 84,499/x
3. Step 3: Cross multiply
   53,978x = 84,499 × 84,499
4. Step 4: Simplify right side
   53,978x = 7,140,081,001
5. Step 5: Solve for x
   x = 7,140,081,001/53,978
6. Step 6: Final answer
   x = 132,277.61