Finding the Third Proportional to 234,426 and 363,222

Step by Step Solution

1. Step 1: Write the proportion equation
   234,426 : 363,222 = 363,222 : x
2. Step 2: Convert to fraction form
   234,426/363,222 = 363,222/x
3. Step 3: Cross multiply
   234,426x = 363,222 × 363,222
4. Step 4: Simplify right side
   234,426x = 131,930,221,284
5. Step 5: Solve for x
   x = 131,930,221,284/234,426
6. Step 6: Final answer
   x = 562,779.82