Finding the Third Proportional to 238,729 and 514,820

Step by Step Solution

1. Step 1: Write the proportion equation
   238,729 : 514,820 = 514,820 : x
2. Step 2: Convert to fraction form
   238,729/514,820 = 514,820/x
3. Step 3: Cross multiply
   238,729x = 514,820 × 514,820
4. Step 4: Simplify right side
   238,729x = 265,039,632,400
5. Step 5: Solve for x
   x = 265,039,632,400/238,729
6. Step 6: Final answer
   x = 1,110,211.30