Finding the Third Proportional to 119,656 and 177,119.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,656 : 177,119.50 = 177,119.50 : x
2. Step 2: Convert to fraction form
   119,656/177,119.50 = 177,119.50/x
3. Step 3: Cross multiply
   119,656x = 177,119.50 × 177,119.50
4. Step 4: Simplify right side
   119,656x = 31,371,317,280.25
5. Step 5: Solve for x
   x = 31,371,317,280.25/119,656
6. Step 6: Final answer
   x = 262,179.22