Finding the Third Proportional to 42,308 and 92,128

Step by Step Solution

1. Step 1: Write the proportion equation
   42,308 : 92,128 = 92,128 : x
2. Step 2: Convert to fraction form
   42,308/92,128 = 92,128/x
3. Step 3: Cross multiply
   42,308x = 92,128 × 92,128
4. Step 4: Simplify right side
   42,308x = 8,487,568,384
5. Step 5: Solve for x
   x = 8,487,568,384/42,308
6. Step 6: Final answer
   x = 200,613.79