Finding the Third Proportional to 47,658 and 103,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,658 : 103,162.50 = 103,162.50 : x
2. Step 2: Convert to fraction form
   47,658/103,162.50 = 103,162.50/x
3. Step 3: Cross multiply
   47,658x = 103,162.50 × 103,162.50
4. Step 4: Simplify right side
   47,658x = 10,642,501,406.25
5. Step 5: Solve for x
   x = 10,642,501,406.25/47,658
6. Step 6: Final answer
   x = 223,309.86