Finding the Third Proportional to 78,189 and 171,141

Step by Step Solution

1. Step 1: Write the proportion equation
   78,189 : 171,141 = 171,141 : x
2. Step 2: Convert to fraction form
   78,189/171,141 = 171,141/x
3. Step 3: Cross multiply
   78,189x = 171,141 × 171,141
4. Step 4: Simplify right side
   78,189x = 29,289,241,881
5. Step 5: Solve for x
   x = 29,289,241,881/78,189
6. Step 6: Final answer
   x = 374,595.43