Finding the Third Proportional to 194,724 and 386,673.75

Step by Step Solution

1. Step 1: Write the proportion equation
   194,724 : 386,673.75 = 386,673.75 : x
2. Step 2: Convert to fraction form
   194,724/386,673.75 = 386,673.75/x
3. Step 3: Cross multiply
   194,724x = 386,673.75 × 386,673.75
4. Step 4: Simplify right side
   194,724x = 149,516,588,939.06
5. Step 5: Solve for x
   x = 149,516,588,939.06/194,724
6. Step 6: Final answer
   x = 767,838.52