Finding the Third Proportional to 89,410.50 and 186,171.75

Step by Step Solution

1. Step 1: Write the proportion equation
   89,410.50 : 186,171.75 = 186,171.75 : x
2. Step 2: Convert to fraction form
   89,410.50/186,171.75 = 186,171.75/x
3. Step 3: Cross multiply
   89,410.50x = 186,171.75 × 186,171.75
4. Step 4: Simplify right side
   89,410.50x = 34,659,920,498.06
5. Step 5: Solve for x
   x = 34,659,920,498.06/89,410.50
6. Step 6: Final answer
   x = 387,649.33