Finding the Third Proportional to 47,413 and 101,856.25

Step by Step Solution

1. Step 1: Write the proportion equation
   47,413 : 101,856.25 = 101,856.25 : x
2. Step 2: Convert to fraction form
   47,413/101,856.25 = 101,856.25/x
3. Step 3: Cross multiply
   47,413x = 101,856.25 × 101,856.25
4. Step 4: Simplify right side
   47,413x = 10,374,695,664.06
5. Step 5: Solve for x
   x = 10,374,695,664.06/47,413
6. Step 6: Final answer
   x = 218,815.42