Finding the Third Proportional to 105,554 and 224,833

Step by Step Solution

1. Step 1: Write the proportion equation
   105,554 : 224,833 = 224,833 : x
2. Step 2: Convert to fraction form
   105,554/224,833 = 224,833/x
3. Step 3: Cross multiply
   105,554x = 224,833 × 224,833
4. Step 4: Simplify right side
   105,554x = 50,549,877,889
5. Step 5: Solve for x
   x = 50,549,877,889/105,554
6. Step 6: Final answer
   x = 478,900.64