Finding the Third Proportional to 359,842 and 528,096

Step by Step Solution

1. Step 1: Write the proportion equation
   359,842 : 528,096 = 528,096 : x
2. Step 2: Convert to fraction form
   359,842/528,096 = 528,096/x
3. Step 3: Cross multiply
   359,842x = 528,096 × 528,096
4. Step 4: Simplify right side
   359,842x = 278,885,385,216
5. Step 5: Solve for x
   x = 278,885,385,216/359,842
6. Step 6: Final answer
   x = 775,021.77