Finding the Third Proportional to 81,910 and 123,616.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,910 : 123,616.50 = 123,616.50 : x
2. Step 2: Convert to fraction form
   81,910/123,616.50 = 123,616.50/x
3. Step 3: Cross multiply
   81,910x = 123,616.50 × 123,616.50
4. Step 4: Simplify right side
   81,910x = 15,281,039,072.25
5. Step 5: Solve for x
   x = 15,281,039,072.25/81,910
6. Step 6: Final answer
   x = 186,558.89