Finding the Third Proportional to 108,865.50 and 164,938.50

Step by Step Solution

1. Step 1: Write the proportion equation
   108,865.50 : 164,938.50 = 164,938.50 : x
2. Step 2: Convert to fraction form
   108,865.50/164,938.50 = 164,938.50/x
3. Step 3: Cross multiply
   108,865.50x = 164,938.50 × 164,938.50
4. Step 4: Simplify right side
   108,865.50x = 27,204,708,782.25
5. Step 5: Solve for x
   x = 27,204,708,782.25/108,865.50
6. Step 6: Final answer
   x = 249,892.84