Finding the Third Proportional to 47,870 and 100,638.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,870 : 100,638.50 = 100,638.50 : x
2. Step 2: Convert to fraction form
   47,870/100,638.50 = 100,638.50/x
3. Step 3: Cross multiply
   47,870x = 100,638.50 × 100,638.50
4. Step 4: Simplify right side
   47,870x = 10,128,107,682.25
5. Step 5: Solve for x
   x = 10,128,107,682.25/47,870
6. Step 6: Final answer
   x = 211,575.26