Finding the Third Proportional to 148,996 and 351,404

Step by Step Solution

1. Step 1: Write the proportion equation
   148,996 : 351,404 = 351,404 : x
2. Step 2: Convert to fraction form
   148,996/351,404 = 351,404/x
3. Step 3: Cross multiply
   148,996x = 351,404 × 351,404
4. Step 4: Simplify right side
   148,996x = 123,484,771,216
5. Step 5: Solve for x
   x = 123,484,771,216/148,996
6. Step 6: Final answer
   x = 828,779.10