Finding the Third Proportional to 65,116 and 133,684

Step by Step Solution

1. Step 1: Write the proportion equation
   65,116 : 133,684 = 133,684 : x
2. Step 2: Convert to fraction form
   65,116/133,684 = 133,684/x
3. Step 3: Cross multiply
   65,116x = 133,684 × 133,684
4. Step 4: Simplify right side
   65,116x = 17,871,411,856
5. Step 5: Solve for x
   x = 17,871,411,856/65,116
6. Step 6: Final answer
   x = 274,455.00