Finding the Third Proportional to 165,642 and 357,510

Step by Step Solution

1. Step 1: Write the proportion equation
   165,642 : 357,510 = 357,510 : x
2. Step 2: Convert to fraction form
   165,642/357,510 = 357,510/x
3. Step 3: Cross multiply
   165,642x = 357,510 × 357,510
4. Step 4: Simplify right side
   165,642x = 127,813,400,100
5. Step 5: Solve for x
   x = 127,813,400,100/165,642
6. Step 6: Final answer
   x = 771,624.35