Finding the Third Proportional to 85,854 and 133,094

Step by Step Solution

1. Step 1: Write the proportion equation
   85,854 : 133,094 = 133,094 : x
2. Step 2: Convert to fraction form
   85,854/133,094 = 133,094/x
3. Step 3: Cross multiply
   85,854x = 133,094 × 133,094
4. Step 4: Simplify right side
   85,854x = 17,714,012,836
5. Step 5: Solve for x
   x = 17,714,012,836/85,854
6. Step 6: Final answer
   x = 206,327.17