Finding the Third Proportional to 120,772 and 164,003.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,772 : 164,003.50 = 164,003.50 : x
2. Step 2: Convert to fraction form
   120,772/164,003.50 = 164,003.50/x
3. Step 3: Cross multiply
   120,772x = 164,003.50 × 164,003.50
4. Step 4: Simplify right side
   120,772x = 26,897,148,012.25
5. Step 5: Solve for x
   x = 26,897,148,012.25/120,772
6. Step 6: Final answer
   x = 222,710.13