Finding the Third Proportional to 148,404 and 349,968

Step by Step Solution

1. Step 1: Write the proportion equation
   148,404 : 349,968 = 349,968 : x
2. Step 2: Convert to fraction form
   148,404/349,968 = 349,968/x
3. Step 3: Cross multiply
   148,404x = 349,968 × 349,968
4. Step 4: Simplify right side
   148,404x = 122,477,601,024
5. Step 5: Solve for x
   x = 122,477,601,024/148,404
6. Step 6: Final answer
   x = 825,298.52