Finding the Third Proportional to 123,848 and 265,191

Step by Step Solution

1. Step 1: Write the proportion equation
   123,848 : 265,191 = 265,191 : x
2. Step 2: Convert to fraction form
   123,848/265,191 = 265,191/x
3. Step 3: Cross multiply
   123,848x = 265,191 × 265,191
4. Step 4: Simplify right side
   123,848x = 70,326,266,481
5. Step 5: Solve for x
   x = 70,326,266,481/123,848
6. Step 6: Final answer
   x = 567,843.38