Finding the Third Proportional to 148,756 and 223,460

Step by Step Solution

1. Step 1: Write the proportion equation
   148,756 : 223,460 = 223,460 : x
2. Step 2: Convert to fraction form
   148,756/223,460 = 223,460/x
3. Step 3: Cross multiply
   148,756x = 223,460 × 223,460
4. Step 4: Simplify right side
   148,756x = 49,934,371,600
5. Step 5: Solve for x
   x = 49,934,371,600/148,756
6. Step 6: Final answer
   x = 335,679.71