Finding the Third Proportional to 180,146 and 392,002

Step by Step Solution

1. Step 1: Write the proportion equation
   180,146 : 392,002 = 392,002 : x
2. Step 2: Convert to fraction form
   180,146/392,002 = 392,002/x
3. Step 3: Cross multiply
   180,146x = 392,002 × 392,002
4. Step 4: Simplify right side
   180,146x = 153,665,568,004
5. Step 5: Solve for x
   x = 153,665,568,004/180,146
6. Step 6: Final answer
   x = 853,005.72