Finding the Third Proportional to 52,240 and 123,296

Step by Step Solution

1. Step 1: Write the proportion equation
   52,240 : 123,296 = 123,296 : x
2. Step 2: Convert to fraction form
   52,240/123,296 = 123,296/x
3. Step 3: Cross multiply
   52,240x = 123,296 × 123,296
4. Step 4: Simplify right side
   52,240x = 15,201,903,616
5. Step 5: Solve for x
   x = 15,201,903,616/52,240
6. Step 6: Final answer
   x = 291,001.22