Finding the Third Proportional to 356,922 and 525,514.50

Step by Step Solution

1. Step 1: Write the proportion equation
   356,922 : 525,514.50 = 525,514.50 : x
2. Step 2: Convert to fraction form
   356,922/525,514.50 = 525,514.50/x
3. Step 3: Cross multiply
   356,922x = 525,514.50 × 525,514.50
4. Step 4: Simplify right side
   356,922x = 276,165,489,710.25
5. Step 5: Solve for x
   x = 276,165,489,710.25/356,922
6. Step 6: Final answer
   x = 773,741.85