Finding the Third Proportional to 78,102 and 171,156

Step by Step Solution

1. Step 1: Write the proportion equation
   78,102 : 171,156 = 171,156 : x
2. Step 2: Convert to fraction form
   78,102/171,156 = 171,156/x
3. Step 3: Cross multiply
   78,102x = 171,156 × 171,156
4. Step 4: Simplify right side
   78,102x = 29,294,376,336
5. Step 5: Solve for x
   x = 29,294,376,336/78,102
6. Step 6: Final answer
   x = 375,078.44