Finding the Third Proportional to 103,707.50 and 164,902

Step by Step Solution

1. Step 1: Write the proportion equation
   103,707.50 : 164,902 = 164,902 : x
2. Step 2: Convert to fraction form
   103,707.50/164,902 = 164,902/x
3. Step 3: Cross multiply
   103,707.50x = 164,902 × 164,902
4. Step 4: Simplify right side
   103,707.50x = 27,192,669,604
5. Step 5: Solve for x
   x = 27,192,669,604/103,707.50
6. Step 6: Final answer
   x = 262,205.43