Finding the Third Proportional to 49,578.75 and 74,478.38

Step by Step Solution

1. Step 1: Write the proportion equation
   49,578.75 : 74,478.38 = 74,478.38 : x
2. Step 2: Convert to fraction form
   49,578.75/74,478.38 = 74,478.38/x
3. Step 3: Cross multiply
   49,578.75x = 74,478.38 × 74,478.38
4. Step 4: Simplify right side
   49,578.75x = 5,547,028,342.64
5. Step 5: Solve for x
   x = 5,547,028,342.64/49,578.75
6. Step 6: Final answer
   x = 111,883.18