Finding the Third Proportional to 262,574 and 633,045.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,574 : 633,045.50 = 633,045.50 : x
2. Step 2: Convert to fraction form
   262,574/633,045.50 = 633,045.50/x
3. Step 3: Cross multiply
   262,574x = 633,045.50 × 633,045.50
4. Step 4: Simplify right side
   262,574x = 400,746,605,070.25
5. Step 5: Solve for x
   x = 400,746,605,070.25/262,574
6. Step 6: Final answer
   x = 1,526,223.48