Finding the Third Proportional to 122,616 and 262,723.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,616 : 262,723.50 = 262,723.50 : x
2. Step 2: Convert to fraction form
   122,616/262,723.50 = 262,723.50/x
3. Step 3: Cross multiply
   122,616x = 262,723.50 × 262,723.50
4. Step 4: Simplify right side
   122,616x = 69,023,637,452.25
5. Step 5: Solve for x
   x = 69,023,637,452.25/122,616
6. Step 6: Final answer
   x = 562,925.21