Finding the Third Proportional to 107,664 and 165,262.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,664 : 165,262.50 = 165,262.50 : x
2. Step 2: Convert to fraction form
   107,664/165,262.50 = 165,262.50/x
3. Step 3: Cross multiply
   107,664x = 165,262.50 × 165,262.50
4. Step 4: Simplify right side
   107,664x = 27,311,693,906.25
5. Step 5: Solve for x
   x = 27,311,693,906.25/107,664
6. Step 6: Final answer
   x = 253,675.27