Finding the Third Proportional to 195,546 and 279,097.50

Step by Step Solution

1. Step 1: Write the proportion equation
   195,546 : 279,097.50 = 279,097.50 : x
2. Step 2: Convert to fraction form
   195,546/279,097.50 = 279,097.50/x
3. Step 3: Cross multiply
   195,546x = 279,097.50 × 279,097.50
4. Step 4: Simplify right side
   195,546x = 77,895,414,506.25
5. Step 5: Solve for x
   x = 77,895,414,506.25/195,546
6. Step 6: Final answer
   x = 398,348.29