Finding the Third Proportional to 89,265 and 185,091

Step by Step Solution

1. Step 1: Write the proportion equation
   89,265 : 185,091 = 185,091 : x
2. Step 2: Convert to fraction form
   89,265/185,091 = 185,091/x
3. Step 3: Cross multiply
   89,265x = 185,091 × 185,091
4. Step 4: Simplify right side
   89,265x = 34,258,678,281
5. Step 5: Solve for x
   x = 34,258,678,281/89,265
6. Step 6: Final answer
   x = 383,786.24