Finding the Third Proportional to 78,228 and 166,152

Step by Step Solution

1. Step 1: Write the proportion equation
   78,228 : 166,152 = 166,152 : x
2. Step 2: Convert to fraction form
   78,228/166,152 = 166,152/x
3. Step 3: Cross multiply
   78,228x = 166,152 × 166,152
4. Step 4: Simplify right side
   78,228x = 27,606,487,104
5. Step 5: Solve for x
   x = 27,606,487,104/78,228
6. Step 6: Final answer
   x = 352,897.77