Finding the Third Proportional to 125,388 and 194,233.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,388 : 194,233.50 = 194,233.50 : x
2. Step 2: Convert to fraction form
   125,388/194,233.50 = 194,233.50/x
3. Step 3: Cross multiply
   125,388x = 194,233.50 × 194,233.50
4. Step 4: Simplify right side
   125,388x = 37,726,652,522.25
5. Step 5: Solve for x
   x = 37,726,652,522.25/125,388
6. Step 6: Final answer
   x = 300,879.29