Finding the Third Proportional to 133,825 and 200,293.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,825 : 200,293.50 = 200,293.50 : x
2. Step 2: Convert to fraction form
   133,825/200,293.50 = 200,293.50/x
3. Step 3: Cross multiply
   133,825x = 200,293.50 × 200,293.50
4. Step 4: Simplify right side
   133,825x = 40,117,486,142.25
5. Step 5: Solve for x
   x = 40,117,486,142.25/133,825
6. Step 6: Final answer
   x = 299,775.72