Finding the Third Proportional to 82,671.75 and 123,774.75

Step by Step Solution

1. Step 1: Write the proportion equation
   82,671.75 : 123,774.75 = 123,774.75 : x
2. Step 2: Convert to fraction form
   82,671.75/123,774.75 = 123,774.75/x
3. Step 3: Cross multiply
   82,671.75x = 123,774.75 × 123,774.75
4. Step 4: Simplify right side
   82,671.75x = 15,320,188,737.56
5. Step 5: Solve for x
   x = 15,320,188,737.56/82,671.75
6. Step 6: Final answer
   x = 185,313.47