Finding the Third Proportional to 120,604 and 177,294.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,604 : 177,294.50 = 177,294.50 : x
2. Step 2: Convert to fraction form
   120,604/177,294.50 = 177,294.50/x
3. Step 3: Cross multiply
   120,604x = 177,294.50 × 177,294.50
4. Step 4: Simplify right side
   120,604x = 31,433,339,730.25
5. Step 5: Solve for x
   x = 31,433,339,730.25/120,604
6. Step 6: Final answer
   x = 260,632.65