Finding the Third Proportional to 106,059 and 223,024.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,059 : 223,024.50 = 223,024.50 : x
2. Step 2: Convert to fraction form
   106,059/223,024.50 = 223,024.50/x
3. Step 3: Cross multiply
   106,059x = 223,024.50 × 223,024.50
4. Step 4: Simplify right side
   106,059x = 49,739,927,600.25
5. Step 5: Solve for x
   x = 49,739,927,600.25/106,059
6. Step 6: Final answer
   x = 468,983.56