Finding the Third Proportional to 42,075 and 90,144

Step by Step Solution

1. Step 1: Write the proportion equation
   42,075 : 90,144 = 90,144 : x
2. Step 2: Convert to fraction form
   42,075/90,144 = 90,144/x
3. Step 3: Cross multiply
   42,075x = 90,144 × 90,144
4. Step 4: Simplify right side
   42,075x = 8,125,940,736
5. Step 5: Solve for x
   x = 8,125,940,736/42,075
6. Step 6: Final answer
   x = 193,129.90