Finding the Third Proportional to 82,276 and 174,931

Step by Step Solution

1. Step 1: Write the proportion equation
   82,276 : 174,931 = 174,931 : x
2. Step 2: Convert to fraction form
   82,276/174,931 = 174,931/x
3. Step 3: Cross multiply
   82,276x = 174,931 × 174,931
4. Step 4: Simplify right side
   82,276x = 30,600,854,761
5. Step 5: Solve for x
   x = 30,600,854,761/82,276
6. Step 6: Final answer
   x = 371,929.30