Finding the Third Proportional to 359,814 and 528,055

Step by Step Solution

1. Step 1: Write the proportion equation
   359,814 : 528,055 = 528,055 : x
2. Step 2: Convert to fraction form
   359,814/528,055 = 528,055/x
3. Step 3: Cross multiply
   359,814x = 528,055 × 528,055
4. Step 4: Simplify right side
   359,814x = 278,842,083,025
5. Step 5: Solve for x
   x = 278,842,083,025/359,814
6. Step 6: Final answer
   x = 774,961.74