Finding the Third Proportional to 105,380 and 253,964

Step by Step Solution

1. Step 1: Write the proportion equation
   105,380 : 253,964 = 253,964 : x
2. Step 2: Convert to fraction form
   105,380/253,964 = 253,964/x
3. Step 3: Cross multiply
   105,380x = 253,964 × 253,964
4. Step 4: Simplify right side
   105,380x = 64,497,713,296
5. Step 5: Solve for x
   x = 64,497,713,296/105,380
6. Step 6: Final answer
   x = 612,048.90