Finding the Third Proportional to 119,714 and 185,362

Step by Step Solution

1. Step 1: Write the proportion equation
   119,714 : 185,362 = 185,362 : x
2. Step 2: Convert to fraction form
   119,714/185,362 = 185,362/x
3. Step 3: Cross multiply
   119,714x = 185,362 × 185,362
4. Step 4: Simplify right side
   119,714x = 34,359,071,044
5. Step 5: Solve for x
   x = 34,359,071,044/119,714
6. Step 6: Final answer
   x = 287,009.63