Finding the Third Proportional to 78,747 and 174,828

Step by Step Solution

1. Step 1: Write the proportion equation
   78,747 : 174,828 = 174,828 : x
2. Step 2: Convert to fraction form
   78,747/174,828 = 174,828/x
3. Step 3: Cross multiply
   78,747x = 174,828 × 174,828
4. Step 4: Simplify right side
   78,747x = 30,564,829,584
5. Step 5: Solve for x
   x = 30,564,829,584/78,747
6. Step 6: Final answer
   x = 388,139.61