Finding the Third Proportional to 81,546 and 152,852

Step by Step Solution

1. Step 1: Write the proportion equation
   81,546 : 152,852 = 152,852 : x
2. Step 2: Convert to fraction form
   81,546/152,852 = 152,852/x
3. Step 3: Cross multiply
   81,546x = 152,852 × 152,852
4. Step 4: Simplify right side
   81,546x = 23,363,733,904
5. Step 5: Solve for x
   x = 23,363,733,904/81,546
6. Step 6: Final answer
   x = 286,509.87