Finding the Third Proportional to 65,583 and 99,616.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,583 : 99,616.50 = 99,616.50 : x
2. Step 2: Convert to fraction form
   65,583/99,616.50 = 99,616.50/x
3. Step 3: Cross multiply
   65,583x = 99,616.50 × 99,616.50
4. Step 4: Simplify right side
   65,583x = 9,923,447,072.25
5. Step 5: Solve for x
   x = 9,923,447,072.25/65,583
6. Step 6: Final answer
   x = 151,311.27