Finding the Third Proportional to 42,120 and 90,996

Step by Step Solution

1. Step 1: Write the proportion equation
   42,120 : 90,996 = 90,996 : x
2. Step 2: Convert to fraction form
   42,120/90,996 = 90,996/x
3. Step 3: Cross multiply
   42,120x = 90,996 × 90,996
4. Step 4: Simplify right side
   42,120x = 8,280,272,016
5. Step 5: Solve for x
   x = 8,280,272,016/42,120
6. Step 6: Final answer
   x = 196,587.65