Finding the Third Proportional to 78,869 and 171,047

Step by Step Solution

1. Step 1: Write the proportion equation
   78,869 : 171,047 = 171,047 : x
2. Step 2: Convert to fraction form
   78,869/171,047 = 171,047/x
3. Step 3: Cross multiply
   78,869x = 171,047 × 171,047
4. Step 4: Simplify right side
   78,869x = 29,257,076,209
5. Step 5: Solve for x
   x = 29,257,076,209/78,869
6. Step 6: Final answer
   x = 370,957.87