Finding the Third Proportional to 103,782 and 228,300

Step by Step Solution

1. Step 1: Write the proportion equation
   103,782 : 228,300 = 228,300 : x
2. Step 2: Convert to fraction form
   103,782/228,300 = 228,300/x
3. Step 3: Cross multiply
   103,782x = 228,300 × 228,300
4. Step 4: Simplify right side
   103,782x = 52,120,890,000
5. Step 5: Solve for x
   x = 52,120,890,000/103,782
6. Step 6: Final answer
   x = 502,215.12