Finding the Third Proportional to 83,952 and 181,436.25

Step by Step Solution

1. Step 1: Write the proportion equation
   83,952 : 181,436.25 = 181,436.25 : x
2. Step 2: Convert to fraction form
   83,952/181,436.25 = 181,436.25/x
3. Step 3: Cross multiply
   83,952x = 181,436.25 × 181,436.25
4. Step 4: Simplify right side
   83,952x = 32,919,112,814.06
5. Step 5: Solve for x
   x = 32,919,112,814.06/83,952
6. Step 6: Final answer
   x = 392,118.27