Finding the Third Proportional to 83,954.25 and 181,442.25

Step by Step Solution

1. Step 1: Write the proportion equation
   83,954.25 : 181,442.25 = 181,442.25 : x
2. Step 2: Convert to fraction form
   83,954.25/181,442.25 = 181,442.25/x
3. Step 3: Cross multiply
   83,954.25x = 181,442.25 × 181,442.25
4. Step 4: Simplify right side
   83,954.25x = 32,921,290,085.06
5. Step 5: Solve for x
   x = 32,921,290,085.06/83,954.25
6. Step 6: Final answer
   x = 392,133.69