Finding the Third Proportional to 42,896 and 94,524

Step by Step Solution

1. Step 1: Write the proportion equation
   42,896 : 94,524 = 94,524 : x
2. Step 2: Convert to fraction form
   42,896/94,524 = 94,524/x
3. Step 3: Cross multiply
   42,896x = 94,524 × 94,524
4. Step 4: Simplify right side
   42,896x = 8,934,786,576
5. Step 5: Solve for x
   x = 8,934,786,576/42,896
6. Step 6: Final answer
   x = 208,289.50