Finding the Third Proportional to 103,200.47 and 209,173.78

Step by Step Solution

1. Step 1: Write the proportion equation
   103,200.47 : 209,173.78 = 209,173.78 : x
2. Step 2: Convert to fraction form
   103,200.47/209,173.78 = 209,173.78/x
3. Step 3: Cross multiply
   103,200.47x = 209,173.78 × 209,173.78
4. Step 4: Simplify right side
   103,200.47x = 43,753,670,762.42
5. Step 5: Solve for x
   x = 43,753,670,762.42/103,200.47
6. Step 6: Final answer
   x = 423,967.75