Finding the Third Proportional to 624.78 and 938.78

Step by Step Solution

1. Step 1: Write the proportion equation
   624.78 : 938.78 = 938.78 : x
2. Step 2: Convert to fraction form
   624.78/938.78 = 938.78/x
3. Step 3: Cross multiply
   624.78x = 938.78 × 938.78
4. Step 4: Simplify right side
   624.78x = 881,310.24
5. Step 5: Solve for x
   x = 881,310.24/624.78
6. Step 6: Final answer
   x = 1,410.59