Finding the Third Proportional to 105,498 and 227,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,498 : 227,641.50 = 227,641.50 : x
2. Step 2: Convert to fraction form
   105,498/227,641.50 = 227,641.50/x
3. Step 3: Cross multiply
   105,498x = 227,641.50 × 227,641.50
4. Step 4: Simplify right side
   105,498x = 51,820,652,522.25
5. Step 5: Solve for x
   x = 51,820,652,522.25/105,498
6. Step 6: Final answer
   x = 491,200.33