Finding the Third Proportional to 52,179 and 84,012

Step by Step Solution

1. Step 1: Write the proportion equation
   52,179 : 84,012 = 84,012 : x
2. Step 2: Convert to fraction form
   52,179/84,012 = 84,012/x
3. Step 3: Cross multiply
   52,179x = 84,012 × 84,012
4. Step 4: Simplify right side
   52,179x = 7,058,016,144
5. Step 5: Solve for x
   x = 7,058,016,144/52,179
6. Step 6: Final answer
   x = 135,265.45