Finding the Third Proportional to 129,638 and 194,459.25

Step by Step Solution

1. Step 1: Write the proportion equation
   129,638 : 194,459.25 = 194,459.25 : x
2. Step 2: Convert to fraction form
   129,638/194,459.25 = 194,459.25/x
3. Step 3: Cross multiply
   129,638x = 194,459.25 × 194,459.25
4. Step 4: Simplify right side
   129,638x = 37,814,399,910.56
5. Step 5: Solve for x
   x = 37,814,399,910.56/129,638
6. Step 6: Final answer
   x = 291,692.25