Finding the Third Proportional to 83,086.88 and 181,725.75

Step by Step Solution

1. Step 1: Write the proportion equation
   83,086.88 : 181,725.75 = 181,725.75 : x
2. Step 2: Convert to fraction form
   83,086.88/181,725.75 = 181,725.75/x
3. Step 3: Cross multiply
   83,086.88x = 181,725.75 × 181,725.75
4. Step 4: Simplify right side
   83,086.88x = 33,024,248,213.06
5. Step 5: Solve for x
   x = 33,024,248,213.06/83,086.88
6. Step 6: Final answer
   x = 397,466.49