Finding the Third Proportional to 137,690 and 203,978

Step by Step Solution

1. Step 1: Write the proportion equation
   137,690 : 203,978 = 203,978 : x
2. Step 2: Convert to fraction form
   137,690/203,978 = 203,978/x
3. Step 3: Cross multiply
   137,690x = 203,978 × 203,978
4. Step 4: Simplify right side
   137,690x = 41,607,024,484
5. Step 5: Solve for x
   x = 41,607,024,484/137,690
6. Step 6: Final answer
   x = 302,178.99