Finding the Third Proportional to 165,488 and 357,222

Step by Step Solution

1. Step 1: Write the proportion equation
   165,488 : 357,222 = 357,222 : x
2. Step 2: Convert to fraction form
   165,488/357,222 = 357,222/x
3. Step 3: Cross multiply
   165,488x = 357,222 × 357,222
4. Step 4: Simplify right side
   165,488x = 127,607,557,284
5. Step 5: Solve for x
   x = 127,607,557,284/165,488
6. Step 6: Final answer
   x = 771,098.55