Finding the Third Proportional to 88,942.88 and 194,477.25

Step by Step Solution

1. Step 1: Write the proportion equation
   88,942.88 : 194,477.25 = 194,477.25 : x
2. Step 2: Convert to fraction form
   88,942.88/194,477.25 = 194,477.25/x
3. Step 3: Cross multiply
   88,942.88x = 194,477.25 × 194,477.25
4. Step 4: Simplify right side
   88,942.88x = 37,821,400,767.56
5. Step 5: Solve for x
   x = 37,821,400,767.56/88,942.88
6. Step 6: Final answer
   x = 425,232.50