Finding the Third Proportional to 90,120 and 185,952

Step by Step Solution

1. Step 1: Write the proportion equation
   90,120 : 185,952 = 185,952 : x
2. Step 2: Convert to fraction form
   90,120/185,952 = 185,952/x
3. Step 3: Cross multiply
   90,120x = 185,952 × 185,952
4. Step 4: Simplify right side
   90,120x = 34,578,146,304
5. Step 5: Solve for x
   x = 34,578,146,304/90,120
6. Step 6: Final answer
   x = 383,690.04