Finding the Third Proportional to 47,412 and 100,669.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,412 : 100,669.50 = 100,669.50 : x
2. Step 2: Convert to fraction form
   47,412/100,669.50 = 100,669.50/x
3. Step 3: Cross multiply
   47,412x = 100,669.50 × 100,669.50
4. Step 4: Simplify right side
   47,412x = 10,134,348,230.25
5. Step 5: Solve for x
   x = 10,134,348,230.25/47,412
6. Step 6: Final answer
   x = 213,750.70