Finding the Third Proportional to 72,016 and 157,033

Step by Step Solution

1. Step 1: Write the proportion equation
   72,016 : 157,033 = 157,033 : x
2. Step 2: Convert to fraction form
   72,016/157,033 = 157,033/x
3. Step 3: Cross multiply
   72,016x = 157,033 × 157,033
4. Step 4: Simplify right side
   72,016x = 24,659,363,089
5. Step 5: Solve for x
   x = 24,659,363,089/72,016
6. Step 6: Final answer
   x = 342,415.06