Finding the Third Proportional to 300,071 and 460,128

Step by Step Solution

1. Step 1: Write the proportion equation
   300,071 : 460,128 = 460,128 : x
2. Step 2: Convert to fraction form
   300,071/460,128 = 460,128/x
3. Step 3: Cross multiply
   300,071x = 460,128 × 460,128
4. Step 4: Simplify right side
   300,071x = 211,717,776,384
5. Step 5: Solve for x
   x = 211,717,776,384/300,071
6. Step 6: Final answer
   x = 705,558.94