Finding the Third Proportional to 65,113 and 142,733

Step by Step Solution

1. Step 1: Write the proportion equation
   65,113 : 142,733 = 142,733 : x
2. Step 2: Convert to fraction form
   65,113/142,733 = 142,733/x
3. Step 3: Cross multiply
   65,113x = 142,733 × 142,733
4. Step 4: Simplify right side
   65,113x = 20,372,709,289
5. Step 5: Solve for x
   x = 20,372,709,289/65,113
6. Step 6: Final answer
   x = 312,882.36