Finding the Third Proportional to 96,643 and 196,018

Step by Step Solution

1. Step 1: Write the proportion equation
   96,643 : 196,018 = 196,018 : x
2. Step 2: Convert to fraction form
   96,643/196,018 = 196,018/x
3. Step 3: Cross multiply
   96,643x = 196,018 × 196,018
4. Step 4: Simplify right side
   96,643x = 38,423,056,324
5. Step 5: Solve for x
   x = 38,423,056,324/96,643
6. Step 6: Final answer
   x = 397,577.23