Finding the Third Proportional to 65,664 and 139,534

Step by Step Solution

1. Step 1: Write the proportion equation
   65,664 : 139,534 = 139,534 : x
2. Step 2: Convert to fraction form
   65,664/139,534 = 139,534/x
3. Step 3: Cross multiply
   65,664x = 139,534 × 139,534
4. Step 4: Simplify right side
   65,664x = 19,469,737,156
5. Step 5: Solve for x
   x = 19,469,737,156/65,664
6. Step 6: Final answer
   x = 296,505.50