Finding the Third Proportional to 53,386 and 123,575

Step by Step Solution

1. Step 1: Write the proportion equation
   53,386 : 123,575 = 123,575 : x
2. Step 2: Convert to fraction form
   53,386/123,575 = 123,575/x
3. Step 3: Cross multiply
   53,386x = 123,575 × 123,575
4. Step 4: Simplify right side
   53,386x = 15,270,780,625
5. Step 5: Solve for x
   x = 15,270,780,625/53,386
6. Step 6: Final answer
   x = 286,044.67