Finding the Third Proportional to 106,311 and 164,491.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,311 : 164,491.50 = 164,491.50 : x
2. Step 2: Convert to fraction form
   106,311/164,491.50 = 164,491.50/x
3. Step 3: Cross multiply
   106,311x = 164,491.50 × 164,491.50
4. Step 4: Simplify right side
   106,311x = 27,057,453,572.25
5. Step 5: Solve for x
   x = 27,057,453,572.25/106,311
6. Step 6: Final answer
   x = 254,512.27