Finding the Third Proportional to 83,464.50 and 105,754.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,464.50 : 105,754.50 = 105,754.50 : x
2. Step 2: Convert to fraction form
   83,464.50/105,754.50 = 105,754.50/x
3. Step 3: Cross multiply
   83,464.50x = 105,754.50 × 105,754.50
4. Step 4: Simplify right side
   83,464.50x = 11,184,014,270.25
5. Step 5: Solve for x
   x = 11,184,014,270.25/83,464.50
6. Step 6: Final answer
   x = 133,997.26