Finding the Third Proportional to 78,011 and 171,238

Step by Step Solution

1. Step 1: Write the proportion equation
   78,011 : 171,238 = 171,238 : x
2. Step 2: Convert to fraction form
   78,011/171,238 = 171,238/x
3. Step 3: Cross multiply
   78,011x = 171,238 × 171,238
4. Step 4: Simplify right side
   78,011x = 29,322,452,644
5. Step 5: Solve for x
   x = 29,322,452,644/78,011
6. Step 6: Final answer
   x = 375,875.87