Finding the Third Proportional to 133,413 and 199,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,413 : 199,648.50 = 199,648.50 : x
2. Step 2: Convert to fraction form
   133,413/199,648.50 = 199,648.50/x
3. Step 3: Cross multiply
   133,413x = 199,648.50 × 199,648.50
4. Step 4: Simplify right side
   133,413x = 39,859,523,552.25
5. Step 5: Solve for x
   x = 39,859,523,552.25/133,413
6. Step 6: Final answer
   x = 298,767.91