Finding the Third Proportional to 78,654 and 171,130

Step by Step Solution

1. Step 1: Write the proportion equation
   78,654 : 171,130 = 171,130 : x
2. Step 2: Convert to fraction form
   78,654/171,130 = 171,130/x
3. Step 3: Cross multiply
   78,654x = 171,130 × 171,130
4. Step 4: Simplify right side
   78,654x = 29,285,476,900
5. Step 5: Solve for x
   x = 29,285,476,900/78,654
6. Step 6: Final answer
   x = 372,332.96