Finding the Third Proportional to 90,321.75 and 137,839.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,321.75 : 137,839.50 = 137,839.50 : x
2. Step 2: Convert to fraction form
   90,321.75/137,839.50 = 137,839.50/x
3. Step 3: Cross multiply
   90,321.75x = 137,839.50 × 137,839.50
4. Step 4: Simplify right side
   90,321.75x = 18,999,727,760.25
5. Step 5: Solve for x
   x = 18,999,727,760.25/90,321.75
6. Step 6: Final answer
   x = 210,356.06