Finding the Third Proportional to 137,729 and 204,046.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,729 : 204,046.50 = 204,046.50 : x
2. Step 2: Convert to fraction form
   137,729/204,046.50 = 204,046.50/x
3. Step 3: Cross multiply
   137,729x = 204,046.50 × 204,046.50
4. Step 4: Simplify right side
   137,729x = 41,634,974,162.25
5. Step 5: Solve for x
   x = 41,634,974,162.25/137,729
6. Step 6: Final answer
   x = 302,296.35