Finding the Third Proportional to 106,569 and 164,227.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,569 : 164,227.50 = 164,227.50 : x
2. Step 2: Convert to fraction form
   106,569/164,227.50 = 164,227.50/x
3. Step 3: Cross multiply
   106,569x = 164,227.50 × 164,227.50
4. Step 4: Simplify right side
   106,569x = 26,970,671,756.25
5. Step 5: Solve for x
   x = 26,970,671,756.25/106,569
6. Step 6: Final answer
   x = 253,081.78