Finding the Third Proportional to 66,188 and 144,274

Step by Step Solution

1. Step 1: Write the proportion equation
   66,188 : 144,274 = 144,274 : x
2. Step 2: Convert to fraction form
   66,188/144,274 = 144,274/x
3. Step 3: Cross multiply
   66,188x = 144,274 × 144,274
4. Step 4: Simplify right side
   66,188x = 20,814,987,076
5. Step 5: Solve for x
   x = 20,814,987,076/66,188
6. Step 6: Final answer
   x = 314,482.79