Finding the Third Proportional to 78,559 and 172,075

Step by Step Solution

1. Step 1: Write the proportion equation
   78,559 : 172,075 = 172,075 : x
2. Step 2: Convert to fraction form
   78,559/172,075 = 172,075/x
3. Step 3: Cross multiply
   78,559x = 172,075 × 172,075
4. Step 4: Simplify right side
   78,559x = 29,609,805,625
5. Step 5: Solve for x
   x = 29,609,805,625/78,559
6. Step 6: Final answer
   x = 376,911.69