Finding the Third Proportional to 64,716 and 141,456

Step by Step Solution

1. Step 1: Write the proportion equation
   64,716 : 141,456 = 141,456 : x
2. Step 2: Convert to fraction form
   64,716/141,456 = 141,456/x
3. Step 3: Cross multiply
   64,716x = 141,456 × 141,456
4. Step 4: Simplify right side
   64,716x = 20,009,799,936
5. Step 5: Solve for x
   x = 20,009,799,936/64,716
6. Step 6: Final answer
   x = 309,194.02