Finding the Third Proportional to 64,612 and 140,264

Step by Step Solution

1. Step 1: Write the proportion equation
   64,612 : 140,264 = 140,264 : x
2. Step 2: Convert to fraction form
   64,612/140,264 = 140,264/x
3. Step 3: Cross multiply
   64,612x = 140,264 × 140,264
4. Step 4: Simplify right side
   64,612x = 19,673,989,696
5. Step 5: Solve for x
   x = 19,673,989,696/64,612
6. Step 6: Final answer
   x = 304,494.36