Finding the Third Proportional to 103,072.50 and 221,697

Step by Step Solution

1. Step 1: Write the proportion equation
   103,072.50 : 221,697 = 221,697 : x
2. Step 2: Convert to fraction form
   103,072.50/221,697 = 221,697/x
3. Step 3: Cross multiply
   103,072.50x = 221,697 × 221,697
4. Step 4: Simplify right side
   103,072.50x = 49,149,559,809
5. Step 5: Solve for x
   x = 49,149,559,809/103,072.50
6. Step 6: Final answer
   x = 476,844.55