Finding the Third Proportional to 43,147 and 88,384

Step by Step Solution

1. Step 1: Write the proportion equation
   43,147 : 88,384 = 88,384 : x
2. Step 2: Convert to fraction form
   43,147/88,384 = 88,384/x
3. Step 3: Cross multiply
   43,147x = 88,384 × 88,384
4. Step 4: Simplify right side
   43,147x = 7,811,731,456
5. Step 5: Solve for x
   x = 7,811,731,456/43,147
6. Step 6: Final answer
   x = 181,049.24