Finding the Third Proportional to 42,142 and 90,644

Step by Step Solution

1. Step 1: Write the proportion equation
   42,142 : 90,644 = 90,644 : x
2. Step 2: Convert to fraction form
   42,142/90,644 = 90,644/x
3. Step 3: Cross multiply
   42,142x = 90,644 × 90,644
4. Step 4: Simplify right side
   42,142x = 8,216,334,736
5. Step 5: Solve for x
   x = 8,216,334,736/42,142
6. Step 6: Final answer
   x = 194,967.84