Finding the Third Proportional to 148,408 and 349,978

Step by Step Solution

1. Step 1: Write the proportion equation
   148,408 : 349,978 = 349,978 : x
2. Step 2: Convert to fraction form
   148,408/349,978 = 349,978/x
3. Step 3: Cross multiply
   148,408x = 349,978 × 349,978
4. Step 4: Simplify right side
   148,408x = 122,484,600,484
5. Step 5: Solve for x
   x = 122,484,600,484/148,408
6. Step 6: Final answer
   x = 825,323.44