Finding the Third Proportional to 85,476 and 188,106

Step by Step Solution

1. Step 1: Write the proportion equation
   85,476 : 188,106 = 188,106 : x
2. Step 2: Convert to fraction form
   85,476/188,106 = 188,106/x
3. Step 3: Cross multiply
   85,476x = 188,106 × 188,106
4. Step 4: Simplify right side
   85,476x = 35,383,867,236
5. Step 5: Solve for x
   x = 35,383,867,236/85,476
6. Step 6: Final answer
   x = 413,962.60