Finding the Third Proportional to 105,229 and 223,602

Step by Step Solution

1. Step 1: Write the proportion equation
   105,229 : 223,602 = 223,602 : x
2. Step 2: Convert to fraction form
   105,229/223,602 = 223,602/x
3. Step 3: Cross multiply
   105,229x = 223,602 × 223,602
4. Step 4: Simplify right side
   105,229x = 49,997,854,404
5. Step 5: Solve for x
   x = 49,997,854,404/105,229
6. Step 6: Final answer
   x = 475,133.80