Finding the Third Proportional to 135,390 and 198,466.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,390 : 198,466.50 = 198,466.50 : x
2. Step 2: Convert to fraction form
   135,390/198,466.50 = 198,466.50/x
3. Step 3: Cross multiply
   135,390x = 198,466.50 × 198,466.50
4. Step 4: Simplify right side
   135,390x = 39,388,951,622.25
5. Step 5: Solve for x
   x = 39,388,951,622.25/135,390
6. Step 6: Final answer
   x = 290,929.55