Finding the Third Proportional to 535,288 and 788,144

Step by Step Solution

1. Step 1: Write the proportion equation
   535,288 : 788,144 = 788,144 : x
2. Step 2: Convert to fraction form
   535,288/788,144 = 788,144/x
3. Step 3: Cross multiply
   535,288x = 788,144 × 788,144
4. Step 4: Simplify right side
   535,288x = 621,170,964,736
5. Step 5: Solve for x
   x = 621,170,964,736/535,288
6. Step 6: Final answer
   x = 1,160,442.54