Finding the Third Proportional to 78,897 and 171,168

Step by Step Solution

1. Step 1: Write the proportion equation
   78,897 : 171,168 = 171,168 : x
2. Step 2: Convert to fraction form
   78,897/171,168 = 171,168/x
3. Step 3: Cross multiply
   78,897x = 171,168 × 171,168
4. Step 4: Simplify right side
   78,897x = 29,298,484,224
5. Step 5: Solve for x
   x = 29,298,484,224/78,897
6. Step 6: Final answer
   x = 371,351.06