Finding the Third Proportional to 109,653 and 164,044.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,653 : 164,044.50 = 164,044.50 : x
2. Step 2: Convert to fraction form
   109,653/164,044.50 = 164,044.50/x
3. Step 3: Cross multiply
   109,653x = 164,044.50 × 164,044.50
4. Step 4: Simplify right side
   109,653x = 26,910,597,980.25
5. Step 5: Solve for x
   x = 26,910,597,980.25/109,653
6. Step 6: Final answer
   x = 245,415.98