Finding the Third Proportional to 83,386 and 196,719

Step by Step Solution

1. Step 1: Write the proportion equation
   83,386 : 196,719 = 196,719 : x
2. Step 2: Convert to fraction form
   83,386/196,719 = 196,719/x
3. Step 3: Cross multiply
   83,386x = 196,719 × 196,719
4. Step 4: Simplify right side
   83,386x = 38,698,364,961
5. Step 5: Solve for x
   x = 38,698,364,961/83,386
6. Step 6: Final answer
   x = 464,087.08