Finding the Third Proportional to 65,558 and 141,824

Step by Step Solution

1. Step 1: Write the proportion equation
   65,558 : 141,824 = 141,824 : x
2. Step 2: Convert to fraction form
   65,558/141,824 = 141,824/x
3. Step 3: Cross multiply
   65,558x = 141,824 × 141,824
4. Step 4: Simplify right side
   65,558x = 20,114,046,976
5. Step 5: Solve for x
   x = 20,114,046,976/65,558
6. Step 6: Final answer
   x = 306,813.00