Finding the Third Proportional to 82,466 and 123,481.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,466 : 123,481.50 = 123,481.50 : x
2. Step 2: Convert to fraction form
   82,466/123,481.50 = 123,481.50/x
3. Step 3: Cross multiply
   82,466x = 123,481.50 × 123,481.50
4. Step 4: Simplify right side
   82,466x = 15,247,680,842.25
5. Step 5: Solve for x
   x = 15,247,680,842.25/82,466
6. Step 6: Final answer
   x = 184,896.57