Finding the Third Proportional to 78,188 and 171,184

Step by Step Solution

1. Step 1: Write the proportion equation
   78,188 : 171,184 = 171,184 : x
2. Step 2: Convert to fraction form
   78,188/171,184 = 171,184/x
3. Step 3: Cross multiply
   78,188x = 171,184 × 171,184
4. Step 4: Simplify right side
   78,188x = 29,303,961,856
5. Step 5: Solve for x
   x = 29,303,961,856/78,188
6. Step 6: Final answer
   x = 374,788.48