Finding the Third Proportional to 83,466.38 and 196,835.25

Step by Step Solution

1. Step 1: Write the proportion equation
   83,466.38 : 196,835.25 = 196,835.25 : x
2. Step 2: Convert to fraction form
   83,466.38/196,835.25 = 196,835.25/x
3. Step 3: Cross multiply
   83,466.38x = 196,835.25 × 196,835.25
4. Step 4: Simplify right side
   83,466.38x = 38,744,115,642.56
5. Step 5: Solve for x
   x = 38,744,115,642.56/83,466.38
6. Step 6: Final answer
   x = 464,188.31