Finding the Third Proportional to 308,538 and 466,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   308,538 : 466,096.50 = 466,096.50 : x
2. Step 2: Convert to fraction form
   308,538/466,096.50 = 466,096.50/x
3. Step 3: Cross multiply
   308,538x = 466,096.50 × 466,096.50
4. Step 4: Simplify right side
   308,538x = 217,245,947,312.25
5. Step 5: Solve for x
   x = 217,245,947,312.25/308,538
6. Step 6: Final answer
   x = 704,114.07