Finding the Third Proportional to 89,117 and 185,606

Step by Step Solution

1. Step 1: Write the proportion equation
   89,117 : 185,606 = 185,606 : x
2. Step 2: Convert to fraction form
   89,117/185,606 = 185,606/x
3. Step 3: Cross multiply
   89,117x = 185,606 × 185,606
4. Step 4: Simplify right side
   89,117x = 34,449,587,236
5. Step 5: Solve for x
   x = 34,449,587,236/89,117
6. Step 6: Final answer
   x = 386,565.83