Finding the Third Proportional to 42,147 and 84,240

Step by Step Solution

1. Step 1: Write the proportion equation
   42,147 : 84,240 = 84,240 : x
2. Step 2: Convert to fraction form
   42,147/84,240 = 84,240/x
3. Step 3: Cross multiply
   42,147x = 84,240 × 84,240
4. Step 4: Simplify right side
   42,147x = 7,096,377,600
5. Step 5: Solve for x
   x = 7,096,377,600/42,147
6. Step 6: Final answer
   x = 168,372.07