Finding the Third Proportional to 137,432 and 196,004

Step by Step Solution

1. Step 1: Write the proportion equation
   137,432 : 196,004 = 196,004 : x
2. Step 2: Convert to fraction form
   137,432/196,004 = 196,004/x
3. Step 3: Cross multiply
   137,432x = 196,004 × 196,004
4. Step 4: Simplify right side
   137,432x = 38,417,568,016
5. Step 5: Solve for x
   x = 38,417,568,016/137,432
6. Step 6: Final answer
   x = 279,538.74