Finding the Third Proportional to 78,064 and 170,271

Step by Step Solution

1. Step 1: Write the proportion equation
   78,064 : 170,271 = 170,271 : x
2. Step 2: Convert to fraction form
   78,064/170,271 = 170,271/x
3. Step 3: Cross multiply
   78,064x = 170,271 × 170,271
4. Step 4: Simplify right side
   78,064x = 28,992,213,441
5. Step 5: Solve for x
   x = 28,992,213,441/78,064
6. Step 6: Final answer
   x = 371,390.31