Finding the Third Proportional to 78,110 and 171,172

Step by Step Solution

1. Step 1: Write the proportion equation
   78,110 : 171,172 = 171,172 : x
2. Step 2: Convert to fraction form
   78,110/171,172 = 171,172/x
3. Step 3: Cross multiply
   78,110x = 171,172 × 171,172
4. Step 4: Simplify right side
   78,110x = 29,299,853,584
5. Step 5: Solve for x
   x = 29,299,853,584/78,110
6. Step 6: Final answer
   x = 375,110.15