Finding the Third Proportional to 535,286 and 788,142

Step by Step Solution

1. Step 1: Write the proportion equation
   535,286 : 788,142 = 788,142 : x
2. Step 2: Convert to fraction form
   535,286/788,142 = 788,142/x
3. Step 3: Cross multiply
   535,286x = 788,142 × 788,142
4. Step 4: Simplify right side
   535,286x = 621,167,812,164
5. Step 5: Solve for x
   x = 621,167,812,164/535,286
6. Step 6: Final answer
   x = 1,160,440.98