Finding the Third Proportional to 42,142 and 90,536

Step by Step Solution

1. Step 1: Write the proportion equation
   42,142 : 90,536 = 90,536 : x
2. Step 2: Convert to fraction form
   42,142/90,536 = 90,536/x
3. Step 3: Cross multiply
   42,142x = 90,536 × 90,536
4. Step 4: Simplify right side
   42,142x = 8,196,767,296
5. Step 5: Solve for x
   x = 8,196,767,296/42,142
6. Step 6: Final answer
   x = 194,503.52