Finding the Third Proportional to 69,505 and 152,834

Step by Step Solution

1. Step 1: Write the proportion equation
   69,505 : 152,834 = 152,834 : x
2. Step 2: Convert to fraction form
   69,505/152,834 = 152,834/x
3. Step 3: Cross multiply
   69,505x = 152,834 × 152,834
4. Step 4: Simplify right side
   69,505x = 23,358,231,556
5. Step 5: Solve for x
   x = 23,358,231,556/69,505
6. Step 6: Final answer
   x = 336,065.49