Finding the Third Proportional to 148,500 and 311,580

Step by Step Solution

1. Step 1: Write the proportion equation
   148,500 : 311,580 = 311,580 : x
2. Step 2: Convert to fraction form
   148,500/311,580 = 311,580/x
3. Step 3: Cross multiply
   148,500x = 311,580 × 311,580
4. Step 4: Simplify right side
   148,500x = 97,082,096,400
5. Step 5: Solve for x
   x = 97,082,096,400/148,500
6. Step 6: Final answer
   x = 653,751.49