Finding the Third Proportional to 120,638.50 and 265,071

Step by Step Solution

1. Step 1: Write the proportion equation
   120,638.50 : 265,071 = 265,071 : x
2. Step 2: Convert to fraction form
   120,638.50/265,071 = 265,071/x
3. Step 3: Cross multiply
   120,638.50x = 265,071 × 265,071
4. Step 4: Simplify right side
   120,638.50x = 70,262,635,041
5. Step 5: Solve for x
   x = 70,262,635,041/120,638.50
6. Step 6: Final answer
   x = 582,422.98