Finding the Third Proportional to 194,643 and 295,609.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,643 : 295,609.50 = 295,609.50 : x
2. Step 2: Convert to fraction form
   194,643/295,609.50 = 295,609.50/x
3. Step 3: Cross multiply
   194,643x = 295,609.50 × 295,609.50
4. Step 4: Simplify right side
   194,643x = 87,384,976,490.25
5. Step 5: Solve for x
   x = 87,384,976,490.25/194,643
6. Step 6: Final answer
   x = 448,950.01