Finding the Third Proportional to 137,085.50 and 204,486.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,085.50 : 204,486.50 = 204,486.50 : x
2. Step 2: Convert to fraction form
   137,085.50/204,486.50 = 204,486.50/x
3. Step 3: Cross multiply
   137,085.50x = 204,486.50 × 204,486.50
4. Step 4: Simplify right side
   137,085.50x = 41,814,728,682.25
5. Step 5: Solve for x
   x = 41,814,728,682.25/137,085.50
6. Step 6: Final answer
   x = 305,026.63