Finding the Third Proportional to 83,468 and 196,840

Step by Step Solution

1. Step 1: Write the proportion equation
   83,468 : 196,840 = 196,840 : x
2. Step 2: Convert to fraction form
   83,468/196,840 = 196,840/x
3. Step 3: Cross multiply
   83,468x = 196,840 × 196,840
4. Step 4: Simplify right side
   83,468x = 38,745,985,600
5. Step 5: Solve for x
   x = 38,745,985,600/83,468
6. Step 6: Final answer
   x = 464,201.68