Finding the Third Proportional to 120,924 and 262,561.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,924 : 262,561.50 = 262,561.50 : x
2. Step 2: Convert to fraction form
   120,924/262,561.50 = 262,561.50/x
3. Step 3: Cross multiply
   120,924x = 262,561.50 × 262,561.50
4. Step 4: Simplify right side
   120,924x = 68,938,541,282.25
5. Step 5: Solve for x
   x = 68,938,541,282.25/120,924
6. Step 6: Final answer
   x = 570,098.09