Finding the Third Proportional to 66,174 and 144,012

Step by Step Solution

1. Step 1: Write the proportion equation
   66,174 : 144,012 = 144,012 : x
2. Step 2: Convert to fraction form
   66,174/144,012 = 144,012/x
3. Step 3: Cross multiply
   66,174x = 144,012 × 144,012
4. Step 4: Simplify right side
   66,174x = 20,739,456,144
5. Step 5: Solve for x
   x = 20,739,456,144/66,174
6. Step 6: Final answer
   x = 313,407.93