Finding the Third Proportional to 70,174 and 153,470

Step by Step Solution

1. Step 1: Write the proportion equation
   70,174 : 153,470 = 153,470 : x
2. Step 2: Convert to fraction form
   70,174/153,470 = 153,470/x
3. Step 3: Cross multiply
   70,174x = 153,470 × 153,470
4. Step 4: Simplify right side
   70,174x = 23,553,040,900
5. Step 5: Solve for x
   x = 23,553,040,900/70,174
6. Step 6: Final answer
   x = 335,637.71