Finding the Third Proportional to 82,346 and 177,484

Step by Step Solution

1. Step 1: Write the proportion equation
   82,346 : 177,484 = 177,484 : x
2. Step 2: Convert to fraction form
   82,346/177,484 = 177,484/x
3. Step 3: Cross multiply
   82,346x = 177,484 × 177,484
4. Step 4: Simplify right side
   82,346x = 31,500,570,256
5. Step 5: Solve for x
   x = 31,500,570,256/82,346
6. Step 6: Final answer
   x = 382,539.17