Finding the Third Proportional to 133,002 and 199,631.25

Step by Step Solution

1. Step 1: Write the proportion equation
   133,002 : 199,631.25 = 199,631.25 : x
2. Step 2: Convert to fraction form
   133,002/199,631.25 = 199,631.25/x
3. Step 3: Cross multiply
   133,002x = 199,631.25 × 199,631.25
4. Step 4: Simplify right side
   133,002x = 39,852,635,976.56
5. Step 5: Solve for x
   x = 39,852,635,976.56/133,002
6. Step 6: Final answer
   x = 299,639.37