Finding the Third Proportional to 135,441 and 206,599.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,441 : 206,599.50 = 206,599.50 : x
2. Step 2: Convert to fraction form
   135,441/206,599.50 = 206,599.50/x
3. Step 3: Cross multiply
   135,441x = 206,599.50 × 206,599.50
4. Step 4: Simplify right side
   135,441x = 42,683,353,400.25
5. Step 5: Solve for x
   x = 42,683,353,400.25/135,441
6. Step 6: Final answer
   x = 315,143.52