Finding the Third Proportional to 42,017 and 90,407

Step by Step Solution

1. Step 1: Write the proportion equation
   42,017 : 90,407 = 90,407 : x
2. Step 2: Convert to fraction form
   42,017/90,407 = 90,407/x
3. Step 3: Cross multiply
   42,017x = 90,407 × 90,407
4. Step 4: Simplify right side
   42,017x = 8,173,425,649
5. Step 5: Solve for x
   x = 8,173,425,649/42,017
6. Step 6: Final answer
   x = 194,526.64