Finding the Third Proportional to 64,336 and 141,760

Step by Step Solution

1. Step 1: Write the proportion equation
   64,336 : 141,760 = 141,760 : x
2. Step 2: Convert to fraction form
   64,336/141,760 = 141,760/x
3. Step 3: Cross multiply
   64,336x = 141,760 × 141,760
4. Step 4: Simplify right side
   64,336x = 20,095,897,600
5. Step 5: Solve for x
   x = 20,095,897,600/64,336
6. Step 6: Final answer
   x = 312,358.52