Finding the Third Proportional to 204,755.34 and 309,994.59

Step by Step Solution

1. Step 1: Write the proportion equation
   204,755.34 : 309,994.59 = 309,994.59 : x
2. Step 2: Convert to fraction form
   204,755.34/309,994.59 = 309,994.59/x
3. Step 3: Cross multiply
   204,755.34x = 309,994.59 × 309,994.59
4. Step 4: Simplify right side
   204,755.34x = 96,096,648,154.23
5. Step 5: Solve for x
   x = 96,096,648,154.23/204,755.34
6. Step 6: Final answer
   x = 469,324.25