Finding the Third Proportional to 81,724 and 123,808.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,724 : 123,808.50 = 123,808.50 : x
2. Step 2: Convert to fraction form
   81,724/123,808.50 = 123,808.50/x
3. Step 3: Cross multiply
   81,724x = 123,808.50 × 123,808.50
4. Step 4: Simplify right side
   81,724x = 15,328,544,672.25
5. Step 5: Solve for x
   x = 15,328,544,672.25/81,724
6. Step 6: Final answer
   x = 187,564.79