Finding the Third Proportional to 78,429 and 166,972

Step by Step Solution

1. Step 1: Write the proportion equation
   78,429 : 166,972 = 166,972 : x
2. Step 2: Convert to fraction form
   78,429/166,972 = 166,972/x
3. Step 3: Cross multiply
   78,429x = 166,972 × 166,972
4. Step 4: Simplify right side
   78,429x = 27,879,648,784
5. Step 5: Solve for x
   x = 27,879,648,784/78,429
6. Step 6: Final answer
   x = 355,476.28