Finding the Third Proportional to 64,334 and 141,757

Step by Step Solution

1. Step 1: Write the proportion equation
   64,334 : 141,757 = 141,757 : x
2. Step 2: Convert to fraction form
   64,334/141,757 = 141,757/x
3. Step 3: Cross multiply
   64,334x = 141,757 × 141,757
4. Step 4: Simplify right side
   64,334x = 20,095,047,049
5. Step 5: Solve for x
   x = 20,095,047,049/64,334
6. Step 6: Final answer
   x = 312,355.01