Finding the Third Proportional to 413,128 and 902,064

Step by Step Solution

1. Step 1: Write the proportion equation
   413,128 : 902,064 = 902,064 : x
2. Step 2: Convert to fraction form
   413,128/902,064 = 902,064/x
3. Step 3: Cross multiply
   413,128x = 902,064 × 902,064
4. Step 4: Simplify right side
   413,128x = 813,719,460,096
5. Step 5: Solve for x
   x = 813,719,460,096/413,128
6. Step 6: Final answer
   x = 1,969,654.59