Finding the Third Proportional to 64,314 and 143,532

Step by Step Solution

1. Step 1: Write the proportion equation
   64,314 : 143,532 = 143,532 : x
2. Step 2: Convert to fraction form
   64,314/143,532 = 143,532/x
3. Step 3: Cross multiply
   64,314x = 143,532 × 143,532
4. Step 4: Simplify right side
   64,314x = 20,601,435,024
5. Step 5: Solve for x
   x = 20,601,435,024/64,314
6. Step 6: Final answer
   x = 320,325.82