Finding the Third Proportional to 137,997 and 221,764.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,997 : 221,764.50 = 221,764.50 : x
2. Step 2: Convert to fraction form
   137,997/221,764.50 = 221,764.50/x
3. Step 3: Cross multiply
   137,997x = 221,764.50 × 221,764.50
4. Step 4: Simplify right side
   137,997x = 49,179,493,460.25
5. Step 5: Solve for x
   x = 49,179,493,460.25/137,997
6. Step 6: Final answer
   x = 356,380.89