Finding the Third Proportional to 42,083.25 and 90,078

Step by Step Solution

1. Step 1: Write the proportion equation
   42,083.25 : 90,078 = 90,078 : x
2. Step 2: Convert to fraction form
   42,083.25/90,078 = 90,078/x
3. Step 3: Cross multiply
   42,083.25x = 90,078 × 90,078
4. Step 4: Simplify right side
   42,083.25x = 8,114,046,084
5. Step 5: Solve for x
   x = 8,114,046,084/42,083.25
6. Step 6: Final answer
   x = 192,809.40