Finding the Third Proportional to 80,507 and 174,852

Step by Step Solution

1. Step 1: Write the proportion equation
   80,507 : 174,852 = 174,852 : x
2. Step 2: Convert to fraction form
   80,507/174,852 = 174,852/x
3. Step 3: Cross multiply
   80,507x = 174,852 × 174,852
4. Step 4: Simplify right side
   80,507x = 30,573,221,904
5. Step 5: Solve for x
   x = 30,573,221,904/80,507
6. Step 6: Final answer
   x = 379,758.55