Finding the Third Proportional to 90,878 and 137,952

Step by Step Solution

1. Step 1: Write the proportion equation
   90,878 : 137,952 = 137,952 : x
2. Step 2: Convert to fraction form
   90,878/137,952 = 137,952/x
3. Step 3: Cross multiply
   90,878x = 137,952 × 137,952
4. Step 4: Simplify right side
   90,878x = 19,030,754,304
5. Step 5: Solve for x
   x = 19,030,754,304/90,878
6. Step 6: Final answer
   x = 209,409.92