Finding the Third Proportional to 47,442 and 102,214.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,442 : 102,214.50 = 102,214.50 : x
2. Step 2: Convert to fraction form
   47,442/102,214.50 = 102,214.50/x
3. Step 3: Cross multiply
   47,442x = 102,214.50 × 102,214.50
4. Step 4: Simplify right side
   47,442x = 10,447,804,010.25
5. Step 5: Solve for x
   x = 10,447,804,010.25/47,442
6. Step 6: Final answer
   x = 220,222.67