Finding the Third Proportional to 78,545 and 171,751

Step by Step Solution

1. Step 1: Write the proportion equation
   78,545 : 171,751 = 171,751 : x
2. Step 2: Convert to fraction form
   78,545/171,751 = 171,751/x
3. Step 3: Cross multiply
   78,545x = 171,751 × 171,751
4. Step 4: Simplify right side
   78,545x = 29,498,406,001
5. Step 5: Solve for x
   x = 29,498,406,001/78,545
6. Step 6: Final answer
   x = 375,560.58