Finding the Third Proportional to 72,952 and 158,684

Step by Step Solution

1. Step 1: Write the proportion equation
   72,952 : 158,684 = 158,684 : x
2. Step 2: Convert to fraction form
   72,952/158,684 = 158,684/x
3. Step 3: Cross multiply
   72,952x = 158,684 × 158,684
4. Step 4: Simplify right side
   72,952x = 25,180,611,856
5. Step 5: Solve for x
   x = 25,180,611,856/72,952
6. Step 6: Final answer
   x = 345,166.85