Finding the Third Proportional to 78,232 and 173,744

Step by Step Solution

1. Step 1: Write the proportion equation
   78,232 : 173,744 = 173,744 : x
2. Step 2: Convert to fraction form
   78,232/173,744 = 173,744/x
3. Step 3: Cross multiply
   78,232x = 173,744 × 173,744
4. Step 4: Simplify right side
   78,232x = 30,186,977,536
5. Step 5: Solve for x
   x = 30,186,977,536/78,232
6. Step 6: Final answer
   x = 385,864.83