Finding the Third Proportional to 89,162.25 and 185,796.75

Step by Step Solution

1. Step 1: Write the proportion equation
   89,162.25 : 185,796.75 = 185,796.75 : x
2. Step 2: Convert to fraction form
   89,162.25/185,796.75 = 185,796.75/x
3. Step 3: Cross multiply
   89,162.25x = 185,796.75 × 185,796.75
4. Step 4: Simplify right side
   89,162.25x = 34,520,432,310.56
5. Step 5: Solve for x
   x = 34,520,432,310.56/89,162.25
6. Step 6: Final answer
   x = 387,164.21