Finding the Third Proportional to 129,257 and 194,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   129,257 : 194,022.50 = 194,022.50 : x
2. Step 2: Convert to fraction form
   129,257/194,022.50 = 194,022.50/x
3. Step 3: Cross multiply
   129,257x = 194,022.50 × 194,022.50
4. Step 4: Simplify right side
   129,257x = 37,644,730,506.25
5. Step 5: Solve for x
   x = 37,644,730,506.25/129,257
6. Step 6: Final answer
   x = 291,239.40