Finding the Third Proportional to 42,216 and 89,182

Step by Step Solution

1. Step 1: Write the proportion equation
   42,216 : 89,182 = 89,182 : x
2. Step 2: Convert to fraction form
   42,216/89,182 = 89,182/x
3. Step 3: Cross multiply
   42,216x = 89,182 × 89,182
4. Step 4: Simplify right side
   42,216x = 7,953,429,124
5. Step 5: Solve for x
   x = 7,953,429,124/42,216
6. Step 6: Final answer
   x = 188,398.45