Finding the Third Proportional to 65,792 and 139,784

Step by Step Solution

1. Step 1: Write the proportion equation
   65,792 : 139,784 = 139,784 : x
2. Step 2: Convert to fraction form
   65,792/139,784 = 139,784/x
3. Step 3: Cross multiply
   65,792x = 139,784 × 139,784
4. Step 4: Simplify right side
   65,792x = 19,539,566,656
5. Step 5: Solve for x
   x = 19,539,566,656/65,792
6. Step 6: Final answer
   x = 296,990.01