Finding the Third Proportional to 42,084 and 90,727.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,084 : 90,727.50 = 90,727.50 : x
2. Step 2: Convert to fraction form
   42,084/90,727.50 = 90,727.50/x
3. Step 3: Cross multiply
   42,084x = 90,727.50 × 90,727.50
4. Step 4: Simplify right side
   42,084x = 8,231,479,256.25
5. Step 5: Solve for x
   x = 8,231,479,256.25/42,084
6. Step 6: Final answer
   x = 195,596.41