Finding the Third Proportional to 300,014 and 438,174

Step by Step Solution

1. Step 1: Write the proportion equation
   300,014 : 438,174 = 438,174 : x
2. Step 2: Convert to fraction form
   300,014/438,174 = 438,174/x
3. Step 3: Cross multiply
   300,014x = 438,174 × 438,174
4. Step 4: Simplify right side
   300,014x = 191,996,454,276
5. Step 5: Solve for x
   x = 191,996,454,276/300,014
6. Step 6: Final answer
   x = 639,958.32