Finding the Third Proportional to 119,592 and 185,068

Step by Step Solution

1. Step 1: Write the proportion equation
   119,592 : 185,068 = 185,068 : x
2. Step 2: Convert to fraction form
   119,592/185,068 = 185,068/x
3. Step 3: Cross multiply
   119,592x = 185,068 × 185,068
4. Step 4: Simplify right side
   119,592x = 34,250,164,624
5. Step 5: Solve for x
   x = 34,250,164,624/119,592
6. Step 6: Final answer
   x = 286,391.77