Finding the Third Proportional to 76,644 and 166,788

Step by Step Solution

1. Step 1: Write the proportion equation
   76,644 : 166,788 = 166,788 : x
2. Step 2: Convert to fraction form
   76,644/166,788 = 166,788/x
3. Step 3: Cross multiply
   76,644x = 166,788 × 166,788
4. Step 4: Simplify right side
   76,644x = 27,818,236,944
5. Step 5: Solve for x
   x = 27,818,236,944/76,644
6. Step 6: Final answer
   x = 362,953.88