Finding the Third Proportional to 47,665.50 and 103,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,665.50 : 103,633.50 = 103,633.50 : x
2. Step 2: Convert to fraction form
   47,665.50/103,633.50 = 103,633.50/x
3. Step 3: Cross multiply
   47,665.50x = 103,633.50 × 103,633.50
4. Step 4: Simplify right side
   47,665.50x = 10,739,902,322.25
5. Step 5: Solve for x
   x = 10,739,902,322.25/47,665.50
6. Step 6: Final answer
   x = 225,318.15