Finding the Third Proportional to 109,953 and 164,896.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,953 : 164,896.50 = 164,896.50 : x
2. Step 2: Convert to fraction form
   109,953/164,896.50 = 164,896.50/x
3. Step 3: Cross multiply
   109,953x = 164,896.50 × 164,896.50
4. Step 4: Simplify right side
   109,953x = 27,190,855,712.25
5. Step 5: Solve for x
   x = 27,190,855,712.25/109,953
6. Step 6: Final answer
   x = 247,295.26