Finding the Third Proportional to 83,095.88 and 181,416.38

Step by Step Solution

1. Step 1: Write the proportion equation
   83,095.88 : 181,416.38 = 181,416.38 : x
2. Step 2: Convert to fraction form
   83,095.88/181,416.38 = 181,416.38/x
3. Step 3: Cross multiply
   83,095.88x = 181,416.38 × 181,416.38
4. Step 4: Simplify right side
   83,095.88x = 32,911,901,118.14
5. Step 5: Solve for x
   x = 32,911,901,118.14/83,095.88
6. Step 6: Final answer
   x = 396,071.42