Finding the Third Proportional to 185,238.14 and 385,010.72

Step by Step Solution

1. Step 1: Write the proportion equation
   185,238.14 : 385,010.72 = 385,010.72 : x
2. Step 2: Convert to fraction form
   185,238.14/385,010.72 = 385,010.72/x
3. Step 3: Cross multiply
   185,238.14x = 385,010.72 × 385,010.72
4. Step 4: Simplify right side
   185,238.14x = 148,233,253,552.39
5. Step 5: Solve for x
   x = 148,233,253,552.39/185,238.14
6. Step 6: Final answer
   x = 800,230.74