Finding the Third Proportional to 148,858 and 223,314

Step by Step Solution

1. Step 1: Write the proportion equation
   148,858 : 223,314 = 223,314 : x
2. Step 2: Convert to fraction form
   148,858/223,314 = 223,314/x
3. Step 3: Cross multiply
   148,858x = 223,314 × 223,314
4. Step 4: Simplify right side
   148,858x = 49,869,142,596
5. Step 5: Solve for x
   x = 49,869,142,596/148,858
6. Step 6: Final answer
   x = 335,011.50