Finding the Third Proportional to 69,514 and 152,852

Step by Step Solution

1. Step 1: Write the proportion equation
   69,514 : 152,852 = 152,852 : x
2. Step 2: Convert to fraction form
   69,514/152,852 = 152,852/x
3. Step 3: Cross multiply
   69,514x = 152,852 × 152,852
4. Step 4: Simplify right side
   69,514x = 23,363,733,904
5. Step 5: Solve for x
   x = 23,363,733,904/69,514
6. Step 6: Final answer
   x = 336,101.13