Finding the Third Proportional to 101,348 and 217,455.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,348 : 217,455.50 = 217,455.50 : x
2. Step 2: Convert to fraction form
   101,348/217,455.50 = 217,455.50/x
3. Step 3: Cross multiply
   101,348x = 217,455.50 × 217,455.50
4. Step 4: Simplify right side
   101,348x = 47,286,894,480.25
5. Step 5: Solve for x
   x = 47,286,894,480.25/101,348
6. Step 6: Final answer
   x = 466,579.45