Finding the Third Proportional to 197,762.50 and 409,538

Step by Step Solution

1. Step 1: Write the proportion equation
   197,762.50 : 409,538 = 409,538 : x
2. Step 2: Convert to fraction form
   197,762.50/409,538 = 409,538/x
3. Step 3: Cross multiply
   197,762.50x = 409,538 × 409,538
4. Step 4: Simplify right side
   197,762.50x = 167,721,373,444
5. Step 5: Solve for x
   x = 167,721,373,444/197,762.50
6. Step 6: Final answer
   x = 848,094.93