Finding the Third Proportional to 105,114 and 236,541

Step by Step Solution

1. Step 1: Write the proportion equation
   105,114 : 236,541 = 236,541 : x
2. Step 2: Convert to fraction form
   105,114/236,541 = 236,541/x
3. Step 3: Cross multiply
   105,114x = 236,541 × 236,541
4. Step 4: Simplify right side
   105,114x = 55,951,644,681
5. Step 5: Solve for x
   x = 55,951,644,681/105,114
6. Step 6: Final answer
   x = 532,294.89