Finding the Third Proportional to 78,624 and 164,538

Step by Step Solution

1. Step 1: Write the proportion equation
   78,624 : 164,538 = 164,538 : x
2. Step 2: Convert to fraction form
   78,624/164,538 = 164,538/x
3. Step 3: Cross multiply
   78,624x = 164,538 × 164,538
4. Step 4: Simplify right side
   78,624x = 27,072,753,444
5. Step 5: Solve for x
   x = 27,072,753,444/78,624
6. Step 6: Final answer
   x = 344,331.93