Finding the Third Proportional to 415.50 and 907.78

Step by Step Solution

1. Step 1: Write the proportion equation
   415.50 : 907.78 = 907.78 : x
2. Step 2: Convert to fraction form
   415.50/907.78 = 907.78/x
3. Step 3: Cross multiply
   415.50x = 907.78 × 907.78
4. Step 4: Simplify right side
   415.50x = 824,066.80
5. Step 5: Solve for x
   x = 824,066.80/415.50
6. Step 6: Final answer
   x = 1,983.31