Finding the Third Proportional to 194,727 and 294,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,727 : 294,196.50 = 294,196.50 : x
2. Step 2: Convert to fraction form
   194,727/294,196.50 = 294,196.50/x
3. Step 3: Cross multiply
   194,727x = 294,196.50 × 294,196.50
4. Step 4: Simplify right side
   194,727x = 86,551,580,612.25
5. Step 5: Solve for x
   x = 86,551,580,612.25/194,727
6. Step 6: Final answer
   x = 444,476.53