Finding the Third Proportional to 82,272 and 174,924

Step by Step Solution

1. Step 1: Write the proportion equation
   82,272 : 174,924 = 174,924 : x
2. Step 2: Convert to fraction form
   82,272/174,924 = 174,924/x
3. Step 3: Cross multiply
   82,272x = 174,924 × 174,924
4. Step 4: Simplify right side
   82,272x = 30,598,405,776
5. Step 5: Solve for x
   x = 30,598,405,776/82,272
6. Step 6: Final answer
   x = 371,917.61