Finding the Third Proportional to 135,684 and 199,463.25

Step by Step Solution

1. Step 1: Write the proportion equation
   135,684 : 199,463.25 = 199,463.25 : x
2. Step 2: Convert to fraction form
   135,684/199,463.25 = 199,463.25/x
3. Step 3: Cross multiply
   135,684x = 199,463.25 × 199,463.25
4. Step 4: Simplify right side
   135,684x = 39,785,588,100.56
5. Step 5: Solve for x
   x = 39,785,588,100.56/135,684
6. Step 6: Final answer
   x = 293,222.40