Finding the Third Proportional to 400.78 and 907.03

Step by Step Solution

1. Step 1: Write the proportion equation
   400.78 : 907.03 = 907.03 : x
2. Step 2: Convert to fraction form
   400.78/907.03 = 907.03/x
3. Step 3: Cross multiply
   400.78x = 907.03 × 907.03
4. Step 4: Simplify right side
   400.78x = 822,705.69
5. Step 5: Solve for x
   x = 822,705.69/400.78
6. Step 6: Final answer
   x = 2,052.75