Finding the Third Proportional to 109,383.50 and 164,077

Step by Step Solution

1. Step 1: Write the proportion equation
   109,383.50 : 164,077 = 164,077 : x
2. Step 2: Convert to fraction form
   109,383.50/164,077 = 164,077/x
3. Step 3: Cross multiply
   109,383.50x = 164,077 × 164,077
4. Step 4: Simplify right side
   109,383.50x = 26,921,261,929
5. Step 5: Solve for x
   x = 26,921,261,929/109,383.50
6. Step 6: Final answer
   x = 246,118.13