Finding the Third Proportional to 84,139.50 and 179,952

Step by Step Solution

1. Step 1: Write the proportion equation
   84,139.50 : 179,952 = 179,952 : x
2. Step 2: Convert to fraction form
   84,139.50/179,952 = 179,952/x
3. Step 3: Cross multiply
   84,139.50x = 179,952 × 179,952
4. Step 4: Simplify right side
   84,139.50x = 32,382,722,304
5. Step 5: Solve for x
   x = 32,382,722,304/84,139.50
6. Step 6: Final answer
   x = 384,869.44