Finding the Third Proportional to 82,672 and 123,774

Step by Step Solution

1. Step 1: Write the proportion equation
   82,672 : 123,774 = 123,774 : x
2. Step 2: Convert to fraction form
   82,672/123,774 = 123,774/x
3. Step 3: Cross multiply
   82,672x = 123,774 × 123,774
4. Step 4: Simplify right side
   82,672x = 15,320,003,076
5. Step 5: Solve for x
   x = 15,320,003,076/82,672
6. Step 6: Final answer
   x = 185,310.66