Finding the Third Proportional to 78,098 and 171,004

Step by Step Solution

1. Step 1: Write the proportion equation
   78,098 : 171,004 = 171,004 : x
2. Step 2: Convert to fraction form
   78,098/171,004 = 171,004/x
3. Step 3: Cross multiply
   78,098x = 171,004 × 171,004
4. Step 4: Simplify right side
   78,098x = 29,242,368,016
5. Step 5: Solve for x
   x = 29,242,368,016/78,098
6. Step 6: Final answer
   x = 374,431.71