Finding the Third Proportional to 194,454 and 299,977.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,454 : 299,977.50 = 299,977.50 : x
2. Step 2: Convert to fraction form
   194,454/299,977.50 = 299,977.50/x
3. Step 3: Cross multiply
   194,454x = 299,977.50 × 299,977.50
4. Step 4: Simplify right side
   194,454x = 89,986,500,506.25
5. Step 5: Solve for x
   x = 89,986,500,506.25/194,454
6. Step 6: Final answer
   x = 462,764.98