Finding the Third Proportional to 83,375 and 196,694

Step by Step Solution

1. Step 1: Write the proportion equation
   83,375 : 196,694 = 196,694 : x
2. Step 2: Convert to fraction form
   83,375/196,694 = 196,694/x
3. Step 3: Cross multiply
   83,375x = 196,694 × 196,694
4. Step 4: Simplify right side
   83,375x = 38,688,529,636
5. Step 5: Solve for x
   x = 38,688,529,636/83,375
6. Step 6: Final answer
   x = 464,030.34