Finding the Third Proportional to 70,631 and 152,464

Step by Step Solution

1. Step 1: Write the proportion equation
   70,631 : 152,464 = 152,464 : x
2. Step 2: Convert to fraction form
   70,631/152,464 = 152,464/x
3. Step 3: Cross multiply
   70,631x = 152,464 × 152,464
4. Step 4: Simplify right side
   70,631x = 23,245,271,296
5. Step 5: Solve for x
   x = 23,245,271,296/70,631
6. Step 6: Final answer
   x = 329,108.63