Finding the Third Proportional to 65,535 and 98,845.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,535 : 98,845.50 = 98,845.50 : x
2. Step 2: Convert to fraction form
   65,535/98,845.50 = 98,845.50/x
3. Step 3: Cross multiply
   65,535x = 98,845.50 × 98,845.50
4. Step 4: Simplify right side
   65,535x = 9,770,432,870.25
5. Step 5: Solve for x
   x = 9,770,432,870.25/65,535
6. Step 6: Final answer
   x = 149,087.25