Finding the Third Proportional to 119,644 and 185,790

Step by Step Solution

1. Step 1: Write the proportion equation
   119,644 : 185,790 = 185,790 : x
2. Step 2: Convert to fraction form
   119,644/185,790 = 185,790/x
3. Step 3: Cross multiply
   119,644x = 185,790 × 185,790
4. Step 4: Simplify right side
   119,644x = 34,517,924,100
5. Step 5: Solve for x
   x = 34,517,924,100/119,644
6. Step 6: Final answer
   x = 288,505.27