Finding the Third Proportional to 85,705 and 175,586

Step by Step Solution

1. Step 1: Write the proportion equation
   85,705 : 175,586 = 175,586 : x
2. Step 2: Convert to fraction form
   85,705/175,586 = 175,586/x
3. Step 3: Cross multiply
   85,705x = 175,586 × 175,586
4. Step 4: Simplify right side
   85,705x = 30,830,443,396
5. Step 5: Solve for x
   x = 30,830,443,396/85,705
6. Step 6: Final answer
   x = 359,727.48