Finding the Third Proportional to 120,619.69 and 177,421.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,619.69 : 177,421.50 = 177,421.50 : x
2. Step 2: Convert to fraction form
   120,619.69/177,421.50 = 177,421.50/x
3. Step 3: Cross multiply
   120,619.69x = 177,421.50 × 177,421.50
4. Step 4: Simplify right side
   120,619.69x = 31,478,388,662.25
5. Step 5: Solve for x
   x = 31,478,388,662.25/120,619.69
6. Step 6: Final answer
   x = 260,972.23