Finding the Third Proportional to 76,788 and 166,152

Step by Step Solution

1. Step 1: Write the proportion equation
   76,788 : 166,152 = 166,152 : x
2. Step 2: Convert to fraction form
   76,788/166,152 = 166,152/x
3. Step 3: Cross multiply
   76,788x = 166,152 × 166,152
4. Step 4: Simplify right side
   76,788x = 27,606,487,104
5. Step 5: Solve for x
   x = 27,606,487,104/76,788
6. Step 6: Final answer
   x = 359,515.64