Finding the Third Proportional to 148,456 and 311,500

Step by Step Solution

1. Step 1: Write the proportion equation
   148,456 : 311,500 = 311,500 : x
2. Step 2: Convert to fraction form
   148,456/311,500 = 311,500/x
3. Step 3: Cross multiply
   148,456x = 311,500 × 311,500
4. Step 4: Simplify right side
   148,456x = 97,032,250,000
5. Step 5: Solve for x
   x = 97,032,250,000/148,456
6. Step 6: Final answer
   x = 653,609.49