Finding the Third Proportional to 129,855 and 194,266.50

Step by Step Solution

1. Step 1: Write the proportion equation
   129,855 : 194,266.50 = 194,266.50 : x
2. Step 2: Convert to fraction form
   129,855/194,266.50 = 194,266.50/x
3. Step 3: Cross multiply
   129,855x = 194,266.50 × 194,266.50
4. Step 4: Simplify right side
   129,855x = 37,739,473,022.25
5. Step 5: Solve for x
   x = 37,739,473,022.25/129,855
6. Step 6: Final answer
   x = 290,627.80