Finding the Third Proportional to 120,732 and 262,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,732 : 262,222.50 = 262,222.50 : x
2. Step 2: Convert to fraction form
   120,732/262,222.50 = 262,222.50/x
3. Step 3: Cross multiply
   120,732x = 262,222.50 × 262,222.50
4. Step 4: Simplify right side
   120,732x = 68,760,639,506.25
5. Step 5: Solve for x
   x = 68,760,639,506.25/120,732
6. Step 6: Final answer
   x = 569,531.19