Finding the Third Proportional to 78,823 and 175,142

Step by Step Solution

1. Step 1: Write the proportion equation
   78,823 : 175,142 = 175,142 : x
2. Step 2: Convert to fraction form
   78,823/175,142 = 175,142/x
3. Step 3: Cross multiply
   78,823x = 175,142 × 175,142
4. Step 4: Simplify right side
   78,823x = 30,674,720,164
5. Step 5: Solve for x
   x = 30,674,720,164/78,823
6. Step 6: Final answer
   x = 389,159.51