Finding the Third Proportional to 120,726 and 262,213.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,726 : 262,213.50 = 262,213.50 : x
2. Step 2: Convert to fraction form
   120,726/262,213.50 = 262,213.50/x
3. Step 3: Cross multiply
   120,726x = 262,213.50 × 262,213.50
4. Step 4: Simplify right side
   120,726x = 68,755,919,582.25
5. Step 5: Solve for x
   x = 68,755,919,582.25/120,726
6. Step 6: Final answer
   x = 569,520.40