Finding the Third Proportional to 109,158 and 164,142

Step by Step Solution

1. Step 1: Write the proportion equation
   109,158 : 164,142 = 164,142 : x
2. Step 2: Convert to fraction form
   109,158/164,142 = 164,142/x
3. Step 3: Cross multiply
   109,158x = 164,142 × 164,142
4. Step 4: Simplify right side
   109,158x = 26,942,596,164
5. Step 5: Solve for x
   x = 26,942,596,164/109,158
6. Step 6: Final answer
   x = 246,822.00