Finding the Third Proportional to 350,499 and 525,162

Step by Step Solution

1. Step 1: Write the proportion equation
   350,499 : 525,162 = 525,162 : x
2. Step 2: Convert to fraction form
   350,499/525,162 = 525,162/x
3. Step 3: Cross multiply
   350,499x = 525,162 × 525,162
4. Step 4: Simplify right side
   350,499x = 275,795,126,244
5. Step 5: Solve for x
   x = 275,795,126,244/350,499
6. Step 6: Final answer
   x = 786,864.23