Finding the Third Proportional to 108,405 and 164,695.50

Step by Step Solution

1. Step 1: Write the proportion equation
   108,405 : 164,695.50 = 164,695.50 : x
2. Step 2: Convert to fraction form
   108,405/164,695.50 = 164,695.50/x
3. Step 3: Cross multiply
   108,405x = 164,695.50 × 164,695.50
4. Step 4: Simplify right side
   108,405x = 27,124,607,720.25
5. Step 5: Solve for x
   x = 27,124,607,720.25/108,405
6. Step 6: Final answer
   x = 250,215.47