Finding the Third Proportional to 78,230 and 166,156

Step by Step Solution

1. Step 1: Write the proportion equation
   78,230 : 166,156 = 166,156 : x
2. Step 2: Convert to fraction form
   78,230/166,156 = 166,156/x
3. Step 3: Cross multiply
   78,230x = 166,156 × 166,156
4. Step 4: Simplify right side
   78,230x = 27,607,816,336
5. Step 5: Solve for x
   x = 27,607,816,336/78,230
6. Step 6: Final answer
   x = 352,905.74