Finding the Third Proportional to 147,185 and 233,180

Step by Step Solution

1. Step 1: Write the proportion equation
   147,185 : 233,180 = 233,180 : x
2. Step 2: Convert to fraction form
   147,185/233,180 = 233,180/x
3. Step 3: Cross multiply
   147,185x = 233,180 × 233,180
4. Step 4: Simplify right side
   147,185x = 54,372,912,400
5. Step 5: Solve for x
   x = 54,372,912,400/147,185
6. Step 6: Final answer
   x = 369,418.84