Finding the Third Proportional to 138,675 and 198,310.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,675 : 198,310.50 = 198,310.50 : x
2. Step 2: Convert to fraction form
   138,675/198,310.50 = 198,310.50/x
3. Step 3: Cross multiply
   138,675x = 198,310.50 × 198,310.50
4. Step 4: Simplify right side
   138,675x = 39,327,054,410.25
5. Step 5: Solve for x
   x = 39,327,054,410.25/138,675
6. Step 6: Final answer
   x = 283,591.52