Finding the Third Proportional to 42,343 and 86,864

Step by Step Solution

1. Step 1: Write the proportion equation
   42,343 : 86,864 = 86,864 : x
2. Step 2: Convert to fraction form
   42,343/86,864 = 86,864/x
3. Step 3: Cross multiply
   42,343x = 86,864 × 86,864
4. Step 4: Simplify right side
   42,343x = 7,545,354,496
5. Step 5: Solve for x
   x = 7,545,354,496/42,343
6. Step 6: Final answer
   x = 178,196.03