Finding the Third Proportional to 47,412 and 101,854.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,412 : 101,854.50 = 101,854.50 : x
2. Step 2: Convert to fraction form
   47,412/101,854.50 = 101,854.50/x
3. Step 3: Cross multiply
   47,412x = 101,854.50 × 101,854.50
4. Step 4: Simplify right side
   47,412x = 10,374,339,170.25
5. Step 5: Solve for x
   x = 10,374,339,170.25/47,412
6. Step 6: Final answer
   x = 218,812.52