Finding the Third Proportional to 78,635 and 171,094

Step by Step Solution

1. Step 1: Write the proportion equation
   78,635 : 171,094 = 171,094 : x
2. Step 2: Convert to fraction form
   78,635/171,094 = 171,094/x
3. Step 3: Cross multiply
   78,635x = 171,094 × 171,094
4. Step 4: Simplify right side
   78,635x = 29,273,156,836
5. Step 5: Solve for x
   x = 29,273,156,836/78,635
6. Step 6: Final answer
   x = 372,266.25