Finding the Third Proportional to 108,688.50 and 164,565

Step by Step Solution

1. Step 1: Write the proportion equation
   108,688.50 : 164,565 = 164,565 : x
2. Step 2: Convert to fraction form
   108,688.50/164,565 = 164,565/x
3. Step 3: Cross multiply
   108,688.50x = 164,565 × 164,565
4. Step 4: Simplify right side
   108,688.50x = 27,081,639,225
5. Step 5: Solve for x
   x = 27,081,639,225/108,688.50
6. Step 6: Final answer
   x = 249,167.48