Finding the Third Proportional to 129,878 and 195,194.50

Step by Step Solution

1. Step 1: Write the proportion equation
   129,878 : 195,194.50 = 195,194.50 : x
2. Step 2: Convert to fraction form
   129,878/195,194.50 = 195,194.50/x
3. Step 3: Cross multiply
   129,878x = 195,194.50 × 195,194.50
4. Step 4: Simplify right side
   129,878x = 38,100,892,830.25
5. Step 5: Solve for x
   x = 38,100,892,830.25/129,878
6. Step 6: Final answer
   x = 293,359.10