Finding the Third Proportional to 89,154 and 185,779

Step by Step Solution

1. Step 1: Write the proportion equation
   89,154 : 185,779 = 185,779 : x
2. Step 2: Convert to fraction form
   89,154/185,779 = 185,779/x
3. Step 3: Cross multiply
   89,154x = 185,779 × 185,779
4. Step 4: Simplify right side
   89,154x = 34,513,836,841
5. Step 5: Solve for x
   x = 34,513,836,841/89,154
6. Step 6: Final answer
   x = 387,126.06