Finding the Third Proportional to 81,739 and 175,141

Step by Step Solution

1. Step 1: Write the proportion equation
   81,739 : 175,141 = 175,141 : x
2. Step 2: Convert to fraction form
   81,739/175,141 = 175,141/x
3. Step 3: Cross multiply
   81,739x = 175,141 × 175,141
4. Step 4: Simplify right side
   81,739x = 30,674,369,881
5. Step 5: Solve for x
   x = 30,674,369,881/81,739
6. Step 6: Final answer
   x = 375,272.15