Finding the Third Proportional to 81,507 and 122,800.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,507 : 122,800.50 = 122,800.50 : x
2. Step 2: Convert to fraction form
   81,507/122,800.50 = 122,800.50/x
3. Step 3: Cross multiply
   81,507x = 122,800.50 × 122,800.50
4. Step 4: Simplify right side
   81,507x = 15,079,962,800.25
5. Step 5: Solve for x
   x = 15,079,962,800.25/81,507
6. Step 6: Final answer
   x = 185,014.33