Finding the Third Proportional to 194,394 and 304,288.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,394 : 304,288.50 = 304,288.50 : x
2. Step 2: Convert to fraction form
   194,394/304,288.50 = 304,288.50/x
3. Step 3: Cross multiply
   194,394x = 304,288.50 × 304,288.50
4. Step 4: Simplify right side
   194,394x = 92,591,491,232.25
5. Step 5: Solve for x
   x = 92,591,491,232.25/194,394
6. Step 6: Final answer
   x = 476,308.38