Finding the Third Proportional to 42,034 and 90,446

Step by Step Solution

1. Step 1: Write the proportion equation
   42,034 : 90,446 = 90,446 : x
2. Step 2: Convert to fraction form
   42,034/90,446 = 90,446/x
3. Step 3: Cross multiply
   42,034x = 90,446 × 90,446
4. Step 4: Simplify right side
   42,034x = 8,180,478,916
5. Step 5: Solve for x
   x = 8,180,478,916/42,034
6. Step 6: Final answer
   x = 194,615.76