Finding the Third Proportional to 175,424 and 384,164

Step by Step Solution

1. Step 1: Write the proportion equation
   175,424 : 384,164 = 384,164 : x
2. Step 2: Convert to fraction form
   175,424/384,164 = 384,164/x
3. Step 3: Cross multiply
   175,424x = 384,164 × 384,164
4. Step 4: Simplify right side
   175,424x = 147,581,978,896
5. Step 5: Solve for x
   x = 147,581,978,896/175,424
6. Step 6: Final answer
   x = 841,287.27