Finding the Third Proportional to 39,499 and 85,558

Step by Step Solution

1. Step 1: Write the proportion equation
   39,499 : 85,558 = 85,558 : x
2. Step 2: Convert to fraction form
   39,499/85,558 = 85,558/x
3. Step 3: Cross multiply
   39,499x = 85,558 × 85,558
4. Step 4: Simplify right side
   39,499x = 7,320,171,364
5. Step 5: Solve for x
   x = 7,320,171,364/39,499
6. Step 6: Final answer
   x = 185,325.49