Finding the Third Proportional to 65,117 and 133,690

Step by Step Solution

1. Step 1: Write the proportion equation
   65,117 : 133,690 = 133,690 : x
2. Step 2: Convert to fraction form
   65,117/133,690 = 133,690/x
3. Step 3: Cross multiply
   65,117x = 133,690 × 133,690
4. Step 4: Simplify right side
   65,117x = 17,873,016,100
5. Step 5: Solve for x
   x = 17,873,016,100/65,117
6. Step 6: Final answer
   x = 274,475.42