Finding the Third Proportional to 89,186 and 185,716

Step by Step Solution

1. Step 1: Write the proportion equation
   89,186 : 185,716 = 185,716 : x
2. Step 2: Convert to fraction form
   89,186/185,716 = 185,716/x
3. Step 3: Cross multiply
   89,186x = 185,716 × 185,716
4. Step 4: Simplify right side
   89,186x = 34,490,432,656
5. Step 5: Solve for x
   x = 34,490,432,656/89,186
6. Step 6: Final answer
   x = 386,724.74