Finding the Third Proportional to 78,414 and 171,045

Step by Step Solution

1. Step 1: Write the proportion equation
   78,414 : 171,045 = 171,045 : x
2. Step 2: Convert to fraction form
   78,414/171,045 = 171,045/x
3. Step 3: Cross multiply
   78,414x = 171,045 × 171,045
4. Step 4: Simplify right side
   78,414x = 29,256,392,025
5. Step 5: Solve for x
   x = 29,256,392,025/78,414
6. Step 6: Final answer
   x = 373,101.64