Finding the Third Proportional to 194,949 and 294,547.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,949 : 294,547.50 = 294,547.50 : x
2. Step 2: Convert to fraction form
   194,949/294,547.50 = 294,547.50/x
3. Step 3: Cross multiply
   194,949x = 294,547.50 × 294,547.50
4. Step 4: Simplify right side
   194,949x = 86,758,229,756.25
5. Step 5: Solve for x
   x = 86,758,229,756.25/194,949
6. Step 6: Final answer
   x = 445,030.39