Finding the Third Proportional to 72,533 and 157,162

Step by Step Solution

1. Step 1: Write the proportion equation
   72,533 : 157,162 = 157,162 : x
2. Step 2: Convert to fraction form
   72,533/157,162 = 157,162/x
3. Step 3: Cross multiply
   72,533x = 157,162 × 157,162
4. Step 4: Simplify right side
   72,533x = 24,699,894,244
5. Step 5: Solve for x
   x = 24,699,894,244/72,533
6. Step 6: Final answer
   x = 340,533.20