Finding the Third Proportional to 123,372 and 185,970

Step by Step Solution

1. Step 1: Write the proportion equation
   123,372 : 185,970 = 185,970 : x
2. Step 2: Convert to fraction form
   123,372/185,970 = 185,970/x
3. Step 3: Cross multiply
   123,372x = 185,970 × 185,970
4. Step 4: Simplify right side
   123,372x = 34,584,840,900
5. Step 5: Solve for x
   x = 34,584,840,900/123,372
6. Step 6: Final answer
   x = 280,329.74