Finding the Third Proportional to 101,970 and 223,204.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,970 : 223,204.50 = 223,204.50 : x
2. Step 2: Convert to fraction form
   101,970/223,204.50 = 223,204.50/x
3. Step 3: Cross multiply
   101,970x = 223,204.50 × 223,204.50
4. Step 4: Simplify right side
   101,970x = 49,820,248,820.25
5. Step 5: Solve for x
   x = 49,820,248,820.25/101,970
6. Step 6: Final answer
   x = 488,577.51