Finding the Third Proportional to 81,459 and 122,830.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,459 : 122,830.50 = 122,830.50 : x
2. Step 2: Convert to fraction form
   81,459/122,830.50 = 122,830.50/x
3. Step 3: Cross multiply
   81,459x = 122,830.50 × 122,830.50
4. Step 4: Simplify right side
   81,459x = 15,087,331,730.25
5. Step 5: Solve for x
   x = 15,087,331,730.25/81,459
6. Step 6: Final answer
   x = 185,213.81