Finding the Third Proportional to 81,409 and 175,090

Step by Step Solution

1. Step 1: Write the proportion equation
   81,409 : 175,090 = 175,090 : x
2. Step 2: Convert to fraction form
   81,409/175,090 = 175,090/x
3. Step 3: Cross multiply
   81,409x = 175,090 × 175,090
4. Step 4: Simplify right side
   81,409x = 30,656,508,100
5. Step 5: Solve for x
   x = 30,656,508,100/81,409
6. Step 6: Final answer
   x = 376,573.94