Finding the Third Proportional to 133,036 and 199,547.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,036 : 199,547.50 = 199,547.50 : x
2. Step 2: Convert to fraction form
   133,036/199,547.50 = 199,547.50/x
3. Step 3: Cross multiply
   133,036x = 199,547.50 × 199,547.50
4. Step 4: Simplify right side
   133,036x = 39,819,204,756.25
5. Step 5: Solve for x
   x = 39,819,204,756.25/133,036
6. Step 6: Final answer
   x = 299,311.50