Finding the Third Proportional to 47,380 and 103,677

Step by Step Solution

1. Step 1: Write the proportion equation
   47,380 : 103,677 = 103,677 : x
2. Step 2: Convert to fraction form
   47,380/103,677 = 103,677/x
3. Step 3: Cross multiply
   47,380x = 103,677 × 103,677
4. Step 4: Simplify right side
   47,380x = 10,748,920,329
5. Step 5: Solve for x
   x = 10,748,920,329/47,380
6. Step 6: Final answer
   x = 226,866.20