Finding the Third Proportional to 180,990 and 238,002

Step by Step Solution

1. Step 1: Write the proportion equation
   180,990 : 238,002 = 238,002 : x
2. Step 2: Convert to fraction form
   180,990/238,002 = 238,002/x
3. Step 3: Cross multiply
   180,990x = 238,002 × 238,002
4. Step 4: Simplify right side
   180,990x = 56,644,952,004
5. Step 5: Solve for x
   x = 56,644,952,004/180,990
6. Step 6: Final answer
   x = 312,972.83