Finding the Third Proportional to 72,772 and 157,856

Step by Step Solution

1. Step 1: Write the proportion equation
   72,772 : 157,856 = 157,856 : x
2. Step 2: Convert to fraction form
   72,772/157,856 = 157,856/x
3. Step 3: Cross multiply
   72,772x = 157,856 × 157,856
4. Step 4: Simplify right side
   72,772x = 24,918,516,736
5. Step 5: Solve for x
   x = 24,918,516,736/72,772
6. Step 6: Final answer
   x = 342,419.02