Finding the Third Proportional to 137,096 and 186,770

Step by Step Solution

1. Step 1: Write the proportion equation
   137,096 : 186,770 = 186,770 : x
2. Step 2: Convert to fraction form
   137,096/186,770 = 186,770/x
3. Step 3: Cross multiply
   137,096x = 186,770 × 186,770
4. Step 4: Simplify right side
   137,096x = 34,883,032,900
5. Step 5: Solve for x
   x = 34,883,032,900/137,096
6. Step 6: Final answer
   x = 254,442.38