Finding the Third Proportional to 83,022.47 and 171,952.88

Step by Step Solution

1. Step 1: Write the proportion equation
   83,022.47 : 171,952.88 = 171,952.88 : x
2. Step 2: Convert to fraction form
   83,022.47/171,952.88 = 171,952.88/x
3. Step 3: Cross multiply
   83,022.47x = 171,952.88 × 171,952.88
4. Step 4: Simplify right side
   83,022.47x = 29,567,791,220.77
5. Step 5: Solve for x
   x = 29,567,791,220.77/83,022.47
6. Step 6: Final answer
   x = 356,142.04