Finding the Third Proportional to 120,697.50 and 261,558

Step by Step Solution

1. Step 1: Write the proportion equation
   120,697.50 : 261,558 = 261,558 : x
2. Step 2: Convert to fraction form
   120,697.50/261,558 = 261,558/x
3. Step 3: Cross multiply
   120,697.50x = 261,558 × 261,558
4. Step 4: Simplify right side
   120,697.50x = 68,412,587,364
5. Step 5: Solve for x
   x = 68,412,587,364/120,697.50
6. Step 6: Final answer
   x = 566,810.31