Finding the Third Proportional to 42,578.16 and 90,988.31

Step by Step Solution

1. Step 1: Write the proportion equation
   42,578.16 : 90,988.31 = 90,988.31 : x
2. Step 2: Convert to fraction form
   42,578.16/90,988.31 = 90,988.31/x
3. Step 3: Cross multiply
   42,578.16x = 90,988.31 × 90,988.31
4. Step 4: Simplify right side
   42,578.16x = 8,278,873,011.60
5. Step 5: Solve for x
   x = 8,278,873,011.60/42,578.16
6. Step 6: Final answer
   x = 194,439.44