Finding the Third Proportional to 109,764 and 164,176.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,764 : 164,176.50 = 164,176.50 : x
2. Step 2: Convert to fraction form
   109,764/164,176.50 = 164,176.50/x
3. Step 3: Cross multiply
   109,764x = 164,176.50 × 164,176.50
4. Step 4: Simplify right side
   109,764x = 26,953,923,152.25
5. Step 5: Solve for x
   x = 26,953,923,152.25/109,764
6. Step 6: Final answer
   x = 245,562.51