Finding the Third Proportional to 56,577 and 83,209.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,577 : 83,209.50 = 83,209.50 : x
2. Step 2: Convert to fraction form
   56,577/83,209.50 = 83,209.50/x
3. Step 3: Cross multiply
   56,577x = 83,209.50 × 83,209.50
4. Step 4: Simplify right side
   56,577x = 6,923,820,890.25
5. Step 5: Solve for x
   x = 6,923,820,890.25/56,577
6. Step 6: Final answer
   x = 122,378.72