Finding the Third Proportional to 119,688 and 177,217.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,688 : 177,217.50 = 177,217.50 : x
2. Step 2: Convert to fraction form
   119,688/177,217.50 = 177,217.50/x
3. Step 3: Cross multiply
   119,688x = 177,217.50 × 177,217.50
4. Step 4: Simplify right side
   119,688x = 31,406,042,306.25
5. Step 5: Solve for x
   x = 31,406,042,306.25/119,688
6. Step 6: Final answer
   x = 262,399.26