Finding the Third Proportional to 65,854 and 139,545

Step by Step Solution

1. Step 1: Write the proportion equation
   65,854 : 139,545 = 139,545 : x
2. Step 2: Convert to fraction form
   65,854/139,545 = 139,545/x
3. Step 3: Cross multiply
   65,854x = 139,545 × 139,545
4. Step 4: Simplify right side
   65,854x = 19,472,807,025
5. Step 5: Solve for x
   x = 19,472,807,025/65,854
6. Step 6: Final answer
   x = 295,696.65