Finding the Third Proportional to 109,138.50 and 164,113.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,138.50 : 164,113.50 = 164,113.50 : x
2. Step 2: Convert to fraction form
   109,138.50/164,113.50 = 164,113.50/x
3. Step 3: Cross multiply
   109,138.50x = 164,113.50 × 164,113.50
4. Step 4: Simplify right side
   109,138.50x = 26,933,240,882.25
5. Step 5: Solve for x
   x = 26,933,240,882.25/109,138.50
6. Step 6: Final answer
   x = 246,780.38