Finding the Third Proportional to 109,221 and 164,835.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,221 : 164,835.50 = 164,835.50 : x
2. Step 2: Convert to fraction form
   109,221/164,835.50 = 164,835.50/x
3. Step 3: Cross multiply
   109,221x = 164,835.50 × 164,835.50
4. Step 4: Simplify right side
   109,221x = 27,170,742,060.25
5. Step 5: Solve for x
   x = 27,170,742,060.25/109,221
6. Step 6: Final answer
   x = 248,768.48