Finding the Third Proportional to 49,316 and 108,454

Step by Step Solution

1. Step 1: Write the proportion equation
   49,316 : 108,454 = 108,454 : x
2. Step 2: Convert to fraction form
   49,316/108,454 = 108,454/x
3. Step 3: Cross multiply
   49,316x = 108,454 × 108,454
4. Step 4: Simplify right side
   49,316x = 11,762,270,116
5. Step 5: Solve for x
   x = 11,762,270,116/49,316
6. Step 6: Final answer
   x = 238,508.19