Finding the Third Proportional to 138,361.50 and 202,608

Step by Step Solution

1. Step 1: Write the proportion equation
   138,361.50 : 202,608 = 202,608 : x
2. Step 2: Convert to fraction form
   138,361.50/202,608 = 202,608/x
3. Step 3: Cross multiply
   138,361.50x = 202,608 × 202,608
4. Step 4: Simplify right side
   138,361.50x = 41,050,001,664
5. Step 5: Solve for x
   x = 41,050,001,664/138,361.50
6. Step 6: Final answer
   x = 296,686.59