Finding the Third Proportional to 42,149 and 89,239

Step by Step Solution

1. Step 1: Write the proportion equation
   42,149 : 89,239 = 89,239 : x
2. Step 2: Convert to fraction form
   42,149/89,239 = 89,239/x
3. Step 3: Cross multiply
   42,149x = 89,239 × 89,239
4. Step 4: Simplify right side
   42,149x = 7,963,599,121
5. Step 5: Solve for x
   x = 7,963,599,121/42,149
6. Step 6: Final answer
   x = 188,939.22