Finding the Third Proportional to 81,702 and 123,241.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,702 : 123,241.50 = 123,241.50 : x
2. Step 2: Convert to fraction form
   81,702/123,241.50 = 123,241.50/x
3. Step 3: Cross multiply
   81,702x = 123,241.50 × 123,241.50
4. Step 4: Simplify right side
   81,702x = 15,188,467,322.25
5. Step 5: Solve for x
   x = 15,188,467,322.25/81,702
6. Step 6: Final answer
   x = 185,900.80