Finding the Third Proportional to 85,720 and 188,046

Step by Step Solution

1. Step 1: Write the proportion equation
   85,720 : 188,046 = 188,046 : x
2. Step 2: Convert to fraction form
   85,720/188,046 = 188,046/x
3. Step 3: Cross multiply
   85,720x = 188,046 × 188,046
4. Step 4: Simplify right side
   85,720x = 35,361,298,116
5. Step 5: Solve for x
   x = 35,361,298,116/85,720
6. Step 6: Final answer
   x = 412,520.98