Finding the Third Proportional to 78,379 and 114,285

Step by Step Solution

1. Step 1: Write the proportion equation
   78,379 : 114,285 = 114,285 : x
2. Step 2: Convert to fraction form
   78,379/114,285 = 114,285/x
3. Step 3: Cross multiply
   78,379x = 114,285 × 114,285
4. Step 4: Simplify right side
   78,379x = 13,061,061,225
5. Step 5: Solve for x
   x = 13,061,061,225/78,379
6. Step 6: Final answer
   x = 166,639.80