Finding the Third Proportional to 137,740 and 194,968

Step by Step Solution

1. Step 1: Write the proportion equation
   137,740 : 194,968 = 194,968 : x
2. Step 2: Convert to fraction form
   137,740/194,968 = 194,968/x
3. Step 3: Cross multiply
   137,740x = 194,968 × 194,968
4. Step 4: Simplify right side
   137,740x = 38,012,521,024
5. Step 5: Solve for x
   x = 38,012,521,024/137,740
6. Step 6: Final answer
   x = 275,973.00