Finding the Third Proportional to 42,440 and 89,146

Step by Step Solution

1. Step 1: Write the proportion equation
   42,440 : 89,146 = 89,146 : x
2. Step 2: Convert to fraction form
   42,440/89,146 = 89,146/x
3. Step 3: Cross multiply
   42,440x = 89,146 × 89,146
4. Step 4: Simplify right side
   42,440x = 7,947,009,316
5. Step 5: Solve for x
   x = 7,947,009,316/42,440
6. Step 6: Final answer
   x = 187,252.81