Finding the Third Proportional to 119,596 and 185,064

Step by Step Solution

1. Step 1: Write the proportion equation
   119,596 : 185,064 = 185,064 : x
2. Step 2: Convert to fraction form
   119,596/185,064 = 185,064/x
3. Step 3: Cross multiply
   119,596x = 185,064 × 185,064
4. Step 4: Simplify right side
   119,596x = 34,248,684,096
5. Step 5: Solve for x
   x = 34,248,684,096/119,596
6. Step 6: Final answer
   x = 286,369.81