Finding the Third Proportional to 85,706 and 175,588

Step by Step Solution

1. Step 1: Write the proportion equation
   85,706 : 175,588 = 175,588 : x
2. Step 2: Convert to fraction form
   85,706/175,588 = 175,588/x
3. Step 3: Cross multiply
   85,706x = 175,588 × 175,588
4. Step 4: Simplify right side
   85,706x = 30,831,145,744
5. Step 5: Solve for x
   x = 30,831,145,744/85,706
6. Step 6: Final answer
   x = 359,731.47