Finding the Third Proportional to 81,729 and 123,313.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,729 : 123,313.50 = 123,313.50 : x
2. Step 2: Convert to fraction form
   81,729/123,313.50 = 123,313.50/x
3. Step 3: Cross multiply
   81,729x = 123,313.50 × 123,313.50
4. Step 4: Simplify right side
   81,729x = 15,206,219,282.25
5. Step 5: Solve for x
   x = 15,206,219,282.25/81,729
6. Step 6: Final answer
   x = 186,056.59