Finding the Third Proportional to 78,100 and 171,008

Step by Step Solution

1. Step 1: Write the proportion equation
   78,100 : 171,008 = 171,008 : x
2. Step 2: Convert to fraction form
   78,100/171,008 = 171,008/x
3. Step 3: Cross multiply
   78,100x = 171,008 × 171,008
4. Step 4: Simplify right side
   78,100x = 29,243,736,064
5. Step 5: Solve for x
   x = 29,243,736,064/78,100
6. Step 6: Final answer
   x = 374,439.64