Finding the Third Proportional to 78,463 and 171,596

Step by Step Solution

1. Step 1: Write the proportion equation
   78,463 : 171,596 = 171,596 : x
2. Step 2: Convert to fraction form
   78,463/171,596 = 171,596/x
3. Step 3: Cross multiply
   78,463x = 171,596 × 171,596
4. Step 4: Simplify right side
   78,463x = 29,445,187,216
5. Step 5: Solve for x
   x = 29,445,187,216/78,463
6. Step 6: Final answer
   x = 375,274.81