Finding the Third Proportional to 222,577.50 and 341,238

Step by Step Solution

1. Step 1: Write the proportion equation
   222,577.50 : 341,238 = 341,238 : x
2. Step 2: Convert to fraction form
   222,577.50/341,238 = 341,238/x
3. Step 3: Cross multiply
   222,577.50x = 341,238 × 341,238
4. Step 4: Simplify right side
   222,577.50x = 116,443,372,644
5. Step 5: Solve for x
   x = 116,443,372,644/222,577.50
6. Step 6: Final answer
   x = 523,158.78