Finding the Third Proportional to 120,862 and 265,654

Step by Step Solution

1. Step 1: Write the proportion equation
   120,862 : 265,654 = 265,654 : x
2. Step 2: Convert to fraction form
   120,862/265,654 = 265,654/x
3. Step 3: Cross multiply
   120,862x = 265,654 × 265,654
4. Step 4: Simplify right side
   120,862x = 70,572,047,716
5. Step 5: Solve for x
   x = 70,572,047,716/120,862
6. Step 6: Final answer
   x = 583,906.01