Finding the Third Proportional to 119,688 and 185,852

Step by Step Solution

1. Step 1: Write the proportion equation
   119,688 : 185,852 = 185,852 : x
2. Step 2: Convert to fraction form
   119,688/185,852 = 185,852/x
3. Step 3: Cross multiply
   119,688x = 185,852 × 185,852
4. Step 4: Simplify right side
   119,688x = 34,540,965,904
5. Step 5: Solve for x
   x = 34,540,965,904/119,688
6. Step 6: Final answer
   x = 288,591.72