Finding the Third Proportional to 70,092 and 105,864

Step by Step Solution

1. Step 1: Write the proportion equation
   70,092 : 105,864 = 105,864 : x
2. Step 2: Convert to fraction form
   70,092/105,864 = 105,864/x
3. Step 3: Cross multiply
   70,092x = 105,864 × 105,864
4. Step 4: Simplify right side
   70,092x = 11,207,186,496
5. Step 5: Solve for x
   x = 11,207,186,496/70,092
6. Step 6: Final answer
   x = 159,892.52