Finding the Third Proportional to 135,714 and 199,621.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,714 : 199,621.50 = 199,621.50 : x
2. Step 2: Convert to fraction form
   135,714/199,621.50 = 199,621.50/x
3. Step 3: Cross multiply
   135,714x = 199,621.50 × 199,621.50
4. Step 4: Simplify right side
   135,714x = 39,848,743,262.25
5. Step 5: Solve for x
   x = 39,848,743,262.25/135,714
6. Step 6: Final answer
   x = 293,622.94