Finding the Third Proportional to 42,518 and 86,764

Step by Step Solution

1. Step 1: Write the proportion equation
   42,518 : 86,764 = 86,764 : x
2. Step 2: Convert to fraction form
   42,518/86,764 = 86,764/x
3. Step 3: Cross multiply
   42,518x = 86,764 × 86,764
4. Step 4: Simplify right side
   42,518x = 7,527,991,696
5. Step 5: Solve for x
   x = 7,527,991,696/42,518
6. Step 6: Final answer
   x = 177,054.23