Finding the Third Proportional to 42,114.94 and 90,578.25

Step by Step Solution

1. Step 1: Write the proportion equation
   42,114.94 : 90,578.25 = 90,578.25 : x
2. Step 2: Convert to fraction form
   42,114.94/90,578.25 = 90,578.25/x
3. Step 3: Cross multiply
   42,114.94x = 90,578.25 × 90,578.25
4. Step 4: Simplify right side
   42,114.94x = 8,204,419,373.06
5. Step 5: Solve for x
   x = 8,204,419,373.06/42,114.94
6. Step 6: Final answer
   x = 194,810.20