Finding the Third Proportional to 89,410.50 and 186,165

Step by Step Solution

1. Step 1: Write the proportion equation
   89,410.50 : 186,165 = 186,165 : x
2. Step 2: Convert to fraction form
   89,410.50/186,165 = 186,165/x
3. Step 3: Cross multiply
   89,410.50x = 186,165 × 186,165
4. Step 4: Simplify right side
   89,410.50x = 34,657,407,225
5. Step 5: Solve for x
   x = 34,657,407,225/89,410.50
6. Step 6: Final answer
   x = 387,621.22