Finding the Third Proportional to 109,569 and 164,353.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,569 : 164,353.50 = 164,353.50 : x
2. Step 2: Convert to fraction form
   109,569/164,353.50 = 164,353.50/x
3. Step 3: Cross multiply
   109,569x = 164,353.50 × 164,353.50
4. Step 4: Simplify right side
   109,569x = 27,012,072,962.25
5. Step 5: Solve for x
   x = 27,012,072,962.25/109,569
6. Step 6: Final answer
   x = 246,530.25