Finding the Third Proportional to 194,757 and 294,241.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,757 : 294,241.50 = 294,241.50 : x
2. Step 2: Convert to fraction form
   194,757/294,241.50 = 294,241.50/x
3. Step 3: Cross multiply
   194,757x = 294,241.50 × 294,241.50
4. Step 4: Simplify right side
   194,757x = 86,578,060,322.25
5. Step 5: Solve for x
   x = 86,578,060,322.25/194,757
6. Step 6: Final answer
   x = 444,544.02