Finding the Third Proportional to 137,982 and 208,054

Step by Step Solution

1. Step 1: Write the proportion equation
   137,982 : 208,054 = 208,054 : x
2. Step 2: Convert to fraction form
   137,982/208,054 = 208,054/x
3. Step 3: Cross multiply
   137,982x = 208,054 × 208,054
4. Step 4: Simplify right side
   137,982x = 43,286,466,916
5. Step 5: Solve for x
   x = 43,286,466,916/137,982
6. Step 6: Final answer
   x = 313,710.97