Finding the Third Proportional to 69,700 and 105,198

Step by Step Solution

1. Step 1: Write the proportion equation
   69,700 : 105,198 = 105,198 : x
2. Step 2: Convert to fraction form
   69,700/105,198 = 105,198/x
3. Step 3: Cross multiply
   69,700x = 105,198 × 105,198
4. Step 4: Simplify right side
   69,700x = 11,066,619,204
5. Step 5: Solve for x
   x = 11,066,619,204/69,700
6. Step 6: Final answer
   x = 158,775.02