Finding the Third Proportional to 129,184 and 274,002

Step by Step Solution

1. Step 1: Write the proportion equation
   129,184 : 274,002 = 274,002 : x
2. Step 2: Convert to fraction form
   129,184/274,002 = 274,002/x
3. Step 3: Cross multiply
   129,184x = 274,002 × 274,002
4. Step 4: Simplify right side
   129,184x = 75,077,096,004
5. Step 5: Solve for x
   x = 75,077,096,004/129,184
6. Step 6: Final answer
   x = 581,164.05