Finding the Third Proportional to 71,869 and 156,322

Step by Step Solution

1. Step 1: Write the proportion equation
   71,869 : 156,322 = 156,322 : x
2. Step 2: Convert to fraction form
   71,869/156,322 = 156,322/x
3. Step 3: Cross multiply
   71,869x = 156,322 × 156,322
4. Step 4: Simplify right side
   71,869x = 24,436,567,684
5. Step 5: Solve for x
   x = 24,436,567,684/71,869
6. Step 6: Final answer
   x = 340,015.41