Finding the Third Proportional to 82,348 and 177,488

Step by Step Solution

1. Step 1: Write the proportion equation
   82,348 : 177,488 = 177,488 : x
2. Step 2: Convert to fraction form
   82,348/177,488 = 177,488/x
3. Step 3: Cross multiply
   82,348x = 177,488 × 177,488
4. Step 4: Simplify right side
   82,348x = 31,501,990,144
5. Step 5: Solve for x
   x = 31,501,990,144/82,348
6. Step 6: Final answer
   x = 382,547.12