Finding the Third Proportional to 149,884.25 and 194,459.33

Step by Step Solution

1. Step 1: Write the proportion equation
   149,884.25 : 194,459.33 = 194,459.33 : x
2. Step 2: Convert to fraction form
   149,884.25/194,459.33 = 194,459.33/x
3. Step 3: Cross multiply
   149,884.25x = 194,459.33 × 194,459.33
4. Step 4: Simplify right side
   149,884.25x = 37,814,429,535.22
5. Step 5: Solve for x
   x = 37,814,429,535.22/149,884.25
6. Step 6: Final answer
   x = 252,290.88