Finding the Third Proportional to 132,688 and 195,140

Step by Step Solution

1. Step 1: Write the proportion equation
   132,688 : 195,140 = 195,140 : x
2. Step 2: Convert to fraction form
   132,688/195,140 = 195,140/x
3. Step 3: Cross multiply
   132,688x = 195,140 × 195,140
4. Step 4: Simplify right side
   132,688x = 38,079,619,600
5. Step 5: Solve for x
   x = 38,079,619,600/132,688
6. Step 6: Final answer
   x = 286,986.16