Finding the Third Proportional to 174,994 and 382,064

Step by Step Solution

1. Step 1: Write the proportion equation
   174,994 : 382,064 = 382,064 : x
2. Step 2: Convert to fraction form
   174,994/382,064 = 382,064/x
3. Step 3: Cross multiply
   174,994x = 382,064 × 382,064
4. Step 4: Simplify right side
   174,994x = 145,972,900,096
5. Step 5: Solve for x
   x = 145,972,900,096/174,994
6. Step 6: Final answer
   x = 834,159.46