Finding the Third Proportional to 53,192 and 113,296

Step by Step Solution

1. Step 1: Write the proportion equation
   53,192 : 113,296 = 113,296 : x
2. Step 2: Convert to fraction form
   53,192/113,296 = 113,296/x
3. Step 3: Cross multiply
   53,192x = 113,296 × 113,296
4. Step 4: Simplify right side
   53,192x = 12,835,983,616
5. Step 5: Solve for x
   x = 12,835,983,616/53,192
6. Step 6: Final answer
   x = 241,314.18