Finding the Third Proportional to 109,839 and 166,864.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,839 : 166,864.50 = 166,864.50 : x
2. Step 2: Convert to fraction form
   109,839/166,864.50 = 166,864.50/x
3. Step 3: Cross multiply
   109,839x = 166,864.50 × 166,864.50
4. Step 4: Simplify right side
   109,839x = 27,843,761,360.25
5. Step 5: Solve for x
   x = 27,843,761,360.25/109,839
6. Step 6: Final answer
   x = 253,496.13