Finding the Third Proportional to 258,552 and 401,359.50

Step by Step Solution

1. Step 1: Write the proportion equation
   258,552 : 401,359.50 = 401,359.50 : x
2. Step 2: Convert to fraction form
   258,552/401,359.50 = 401,359.50/x
3. Step 3: Cross multiply
   258,552x = 401,359.50 × 401,359.50
4. Step 4: Simplify right side
   258,552x = 161,089,448,240.25
5. Step 5: Solve for x
   x = 161,089,448,240.25/258,552
6. Step 6: Final answer
   x = 623,044.68