Finding the Third Proportional to 78,488 and 171,912

Step by Step Solution

1. Step 1: Write the proportion equation
   78,488 : 171,912 = 171,912 : x
2. Step 2: Convert to fraction form
   78,488/171,912 = 171,912/x
3. Step 3: Cross multiply
   78,488x = 171,912 × 171,912
4. Step 4: Simplify right side
   78,488x = 29,553,735,744
5. Step 5: Solve for x
   x = 29,553,735,744/78,488
6. Step 6: Final answer
   x = 376,538.27