Finding the Third Proportional to 82,300 and 177,090

Step by Step Solution

1. Step 1: Write the proportion equation
   82,300 : 177,090 = 177,090 : x
2. Step 2: Convert to fraction form
   82,300/177,090 = 177,090/x
3. Step 3: Cross multiply
   82,300x = 177,090 × 177,090
4. Step 4: Simplify right side
   82,300x = 31,360,868,100
5. Step 5: Solve for x
   x = 31,360,868,100/82,300
6. Step 6: Final answer
   x = 381,055.51