Finding the Third Proportional to 386,916 and 869,064

Step by Step Solution

1. Step 1: Write the proportion equation
   386,916 : 869,064 = 869,064 : x
2. Step 2: Convert to fraction form
   386,916/869,064 = 869,064/x
3. Step 3: Cross multiply
   386,916x = 869,064 × 869,064
4. Step 4: Simplify right side
   386,916x = 755,272,236,096
5. Step 5: Solve for x
   x = 755,272,236,096/386,916
6. Step 6: Final answer
   x = 1,952,031.54