Finding the Third Proportional to 78,825 and 171,046

Step by Step Solution

1. Step 1: Write the proportion equation
   78,825 : 171,046 = 171,046 : x
2. Step 2: Convert to fraction form
   78,825/171,046 = 171,046/x
3. Step 3: Cross multiply
   78,825x = 171,046 × 171,046
4. Step 4: Simplify right side
   78,825x = 29,256,734,116
5. Step 5: Solve for x
   x = 29,256,734,116/78,825
6. Step 6: Final answer
   x = 371,160.60