Finding the Third Proportional to 585.75 and 907.78

Step by Step Solution

1. Step 1: Write the proportion equation
   585.75 : 907.78 = 907.78 : x
2. Step 2: Convert to fraction form
   585.75/907.78 = 907.78/x
3. Step 3: Cross multiply
   585.75x = 907.78 × 907.78
4. Step 4: Simplify right side
   585.75x = 824,066.80
5. Step 5: Solve for x
   x = 824,066.80/585.75
6. Step 6: Final answer
   x = 1,406.86