Finding the Third Proportional to 78,894.50 and 171,164

Step by Step Solution

1. Step 1: Write the proportion equation
   78,894.50 : 171,164 = 171,164 : x
2. Step 2: Convert to fraction form
   78,894.50/171,164 = 171,164/x
3. Step 3: Cross multiply
   78,894.50x = 171,164 × 171,164
4. Step 4: Simplify right side
   78,894.50x = 29,297,114,896
5. Step 5: Solve for x
   x = 29,297,114,896/78,894.50
6. Step 6: Final answer
   x = 371,345.47