Finding the Third Proportional to 137,727 and 204,043.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,727 : 204,043.50 = 204,043.50 : x
2. Step 2: Convert to fraction form
   137,727/204,043.50 = 204,043.50/x
3. Step 3: Cross multiply
   137,727x = 204,043.50 × 204,043.50
4. Step 4: Simplify right side
   137,727x = 41,633,749,892.25
5. Step 5: Solve for x
   x = 41,633,749,892.25/137,727
6. Step 6: Final answer
   x = 302,291.85