Finding the Third Proportional to 258,633 and 403,663.50

Step by Step Solution

1. Step 1: Write the proportion equation
   258,633 : 403,663.50 = 403,663.50 : x
2. Step 2: Convert to fraction form
   258,633/403,663.50 = 403,663.50/x
3. Step 3: Cross multiply
   258,633x = 403,663.50 × 403,663.50
4. Step 4: Simplify right side
   258,633x = 162,944,221,232.25
5. Step 5: Solve for x
   x = 162,944,221,232.25/258,633
6. Step 6: Final answer
   x = 630,021.00