Finding the Third Proportional to 49,346 and 108,533

Step by Step Solution

1. Step 1: Write the proportion equation
   49,346 : 108,533 = 108,533 : x
2. Step 2: Convert to fraction form
   49,346/108,533 = 108,533/x
3. Step 3: Cross multiply
   49,346x = 108,533 × 108,533
4. Step 4: Simplify right side
   49,346x = 11,779,412,089
5. Step 5: Solve for x
   x = 11,779,412,089/49,346
6. Step 6: Final answer
   x = 238,710.58