Finding the Third Proportional to 89,080 and 185,531

Step by Step Solution

1. Step 1: Write the proportion equation
   89,080 : 185,531 = 185,531 : x
2. Step 2: Convert to fraction form
   89,080/185,531 = 185,531/x
3. Step 3: Cross multiply
   89,080x = 185,531 × 185,531
4. Step 4: Simplify right side
   89,080x = 34,421,751,961
5. Step 5: Solve for x
   x = 34,421,751,961/89,080
6. Step 6: Final answer
   x = 386,413.92