Finding the Third Proportional to 78,821 and 171,038

Step by Step Solution

1. Step 1: Write the proportion equation
   78,821 : 171,038 = 171,038 : x
2. Step 2: Convert to fraction form
   78,821/171,038 = 171,038/x
3. Step 3: Cross multiply
   78,821x = 171,038 × 171,038
4. Step 4: Simplify right side
   78,821x = 29,253,997,444
5. Step 5: Solve for x
   x = 29,253,997,444/78,821
6. Step 6: Final answer
   x = 371,144.71