Finding the Third Proportional to 84,188 and 196,706

Step by Step Solution

1. Step 1: Write the proportion equation
   84,188 : 196,706 = 196,706 : x
2. Step 2: Convert to fraction form
   84,188/196,706 = 196,706/x
3. Step 3: Cross multiply
   84,188x = 196,706 × 196,706
4. Step 4: Simplify right side
   84,188x = 38,693,250,436
5. Step 5: Solve for x
   x = 38,693,250,436/84,188
6. Step 6: Final answer
   x = 459,605.29