Finding the Third Proportional to 73,550 and 158,764

Step by Step Solution

1. Step 1: Write the proportion equation
   73,550 : 158,764 = 158,764 : x
2. Step 2: Convert to fraction form
   73,550/158,764 = 158,764/x
3. Step 3: Cross multiply
   73,550x = 158,764 × 158,764
4. Step 4: Simplify right side
   73,550x = 25,206,007,696
5. Step 5: Solve for x
   x = 25,206,007,696/73,550
6. Step 6: Final answer
   x = 342,705.75