Finding the Third Proportional to 42,111 and 90,057

Step by Step Solution

1. Step 1: Write the proportion equation
   42,111 : 90,057 = 90,057 : x
2. Step 2: Convert to fraction form
   42,111/90,057 = 90,057/x
3. Step 3: Cross multiply
   42,111x = 90,057 × 90,057
4. Step 4: Simplify right side
   42,111x = 8,110,263,249
5. Step 5: Solve for x
   x = 8,110,263,249/42,111
6. Step 6: Final answer
   x = 192,592.51