Finding the Third Proportional to 103,761 and 224,046

Step by Step Solution

1. Step 1: Write the proportion equation
   103,761 : 224,046 = 224,046 : x
2. Step 2: Convert to fraction form
   103,761/224,046 = 224,046/x
3. Step 3: Cross multiply
   103,761x = 224,046 × 224,046
4. Step 4: Simplify right side
   103,761x = 50,196,610,116
5. Step 5: Solve for x
   x = 50,196,610,116/103,761
6. Step 6: Final answer
   x = 483,771.46