Finding the Third Proportional to 72,072 and 146,160

Step by Step Solution

1. Step 1: Write the proportion equation
   72,072 : 146,160 = 146,160 : x
2. Step 2: Convert to fraction form
   72,072/146,160 = 146,160/x
3. Step 3: Cross multiply
   72,072x = 146,160 × 146,160
4. Step 4: Simplify right side
   72,072x = 21,362,745,600
5. Step 5: Solve for x
   x = 21,362,745,600/72,072
6. Step 6: Final answer
   x = 296,408.39