Finding the Third Proportional to 70,536 and 105,816

Step by Step Solution

1. Step 1: Write the proportion equation
   70,536 : 105,816 = 105,816 : x
2. Step 2: Convert to fraction form
   70,536/105,816 = 105,816/x
3. Step 3: Cross multiply
   70,536x = 105,816 × 105,816
4. Step 4: Simplify right side
   70,536x = 11,197,025,856
5. Step 5: Solve for x
   x = 11,197,025,856/70,536
6. Step 6: Final answer
   x = 158,742.00