Finding the Third Proportional to 78,219 and 166,134

Step by Step Solution

1. Step 1: Write the proportion equation
   78,219 : 166,134 = 166,134 : x
2. Step 2: Convert to fraction form
   78,219/166,134 = 166,134/x
3. Step 3: Cross multiply
   78,219x = 166,134 × 166,134
4. Step 4: Simplify right side
   78,219x = 27,600,505,956
5. Step 5: Solve for x
   x = 27,600,505,956/78,219
6. Step 6: Final answer
   x = 352,861.91