Finding the Third Proportional to 89,404 and 186,157

Step by Step Solution

1. Step 1: Write the proportion equation
   89,404 : 186,157 = 186,157 : x
2. Step 2: Convert to fraction form
   89,404/186,157 = 186,157/x
3. Step 3: Cross multiply
   89,404x = 186,157 × 186,157
4. Step 4: Simplify right side
   89,404x = 34,654,428,649
5. Step 5: Solve for x
   x = 34,654,428,649/89,404
6. Step 6: Final answer
   x = 387,616.09