Finding the Third Proportional to 258,633 and 401,398.50

Step by Step Solution

1. Step 1: Write the proportion equation
   258,633 : 401,398.50 = 401,398.50 : x
2. Step 2: Convert to fraction form
   258,633/401,398.50 = 401,398.50/x
3. Step 3: Cross multiply
   258,633x = 401,398.50 × 401,398.50
4. Step 4: Simplify right side
   258,633x = 161,120,755,802.25
5. Step 5: Solve for x
   x = 161,120,755,802.25/258,633
6. Step 6: Final answer
   x = 622,970.60