Finding the Third Proportional to 82,282.50 and 123,221.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,282.50 : 123,221.25 = 123,221.25 : x
2. Step 2: Convert to fraction form
   82,282.50/123,221.25 = 123,221.25/x
3. Step 3: Cross multiply
   82,282.50x = 123,221.25 × 123,221.25
4. Step 4: Simplify right side
   82,282.50x = 15,183,476,451.56
5. Step 5: Solve for x
   x = 15,183,476,451.56/82,282.50
6. Step 6: Final answer
   x = 184,528.62