Finding the Third Proportional to 784.50 and 899.25

Step by Step Solution

1. Step 1: Write the proportion equation
   784.50 : 899.25 = 899.25 : x
2. Step 2: Convert to fraction form
   784.50/899.25 = 899.25/x
3. Step 3: Cross multiply
   784.50x = 899.25 × 899.25
4. Step 4: Simplify right side
   784.50x = 808,650.56
5. Step 5: Solve for x
   x = 808,650.56/784.50
6. Step 6: Final answer
   x = 1,030.78