Finding the Third Proportional to 103,216.50 and 164,214

Step by Step Solution

1. Step 1: Write the proportion equation
   103,216.50 : 164,214 = 164,214 : x
2. Step 2: Convert to fraction form
   103,216.50/164,214 = 164,214/x
3. Step 3: Cross multiply
   103,216.50x = 164,214 × 164,214
4. Step 4: Simplify right side
   103,216.50x = 26,966,237,796
5. Step 5: Solve for x
   x = 26,966,237,796/103,216.50
6. Step 6: Final answer
   x = 261,258.98