Finding the Third Proportional to 137,978 and 208,047

Step by Step Solution

1. Step 1: Write the proportion equation
   137,978 : 208,047 = 208,047 : x
2. Step 2: Convert to fraction form
   137,978/208,047 = 208,047/x
3. Step 3: Cross multiply
   137,978x = 208,047 × 208,047
4. Step 4: Simplify right side
   137,978x = 43,283,554,209
5. Step 5: Solve for x
   x = 43,283,554,209/137,978
6. Step 6: Final answer
   x = 313,698.95