Finding the Third Proportional to 109,129.50 and 164,099.25

Step by Step Solution

1. Step 1: Write the proportion equation
   109,129.50 : 164,099.25 = 164,099.25 : x
2. Step 2: Convert to fraction form
   109,129.50/164,099.25 = 164,099.25/x
3. Step 3: Cross multiply
   109,129.50x = 164,099.25 × 164,099.25
4. Step 4: Simplify right side
   109,129.50x = 26,928,563,850.56
5. Step 5: Solve for x
   x = 26,928,563,850.56/109,129.50
6. Step 6: Final answer
   x = 246,757.88