Finding the Third Proportional to 82,302 and 177,090

Step by Step Solution

1. Step 1: Write the proportion equation
   82,302 : 177,090 = 177,090 : x
2. Step 2: Convert to fraction form
   82,302/177,090 = 177,090/x
3. Step 3: Cross multiply
   82,302x = 177,090 × 177,090
4. Step 4: Simplify right side
   82,302x = 31,360,868,100
5. Step 5: Solve for x
   x = 31,360,868,100/82,302
6. Step 6: Final answer
   x = 381,046.25