Finding the Third Proportional to 42,344 and 89,440

Step by Step Solution

1. Step 1: Write the proportion equation
   42,344 : 89,440 = 89,440 : x
2. Step 2: Convert to fraction form
   42,344/89,440 = 89,440/x
3. Step 3: Cross multiply
   42,344x = 89,440 × 89,440
4. Step 4: Simplify right side
   42,344x = 7,999,513,600
5. Step 5: Solve for x
   x = 7,999,513,600/42,344
6. Step 6: Final answer
   x = 188,917.29