Finding the Third Proportional to 128,846.25 and 194,681.25

Step by Step Solution

1. Step 1: Write the proportion equation
   128,846.25 : 194,681.25 = 194,681.25 : x
2. Step 2: Convert to fraction form
   128,846.25/194,681.25 = 194,681.25/x
3. Step 3: Cross multiply
   128,846.25x = 194,681.25 × 194,681.25
4. Step 4: Simplify right side
   128,846.25x = 37,900,789,101.56
5. Step 5: Solve for x
   x = 37,900,789,101.56/128,846.25
6. Step 6: Final answer
   x = 294,155.16