Finding the Third Proportional to 138,665 and 198,153.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,665 : 198,153.50 = 198,153.50 : x
2. Step 2: Convert to fraction form
   138,665/198,153.50 = 198,153.50/x
3. Step 3: Cross multiply
   138,665x = 198,153.50 × 198,153.50
4. Step 4: Simplify right side
   138,665x = 39,264,809,562.25
5. Step 5: Solve for x
   x = 39,264,809,562.25/138,665
6. Step 6: Final answer
   x = 283,163.09