Finding the Third Proportional to 194,643 and 368,934.75

Step by Step Solution

1. Step 1: Write the proportion equation
   194,643 : 368,934.75 = 368,934.75 : x
2. Step 2: Convert to fraction form
   194,643/368,934.75 = 368,934.75/x
3. Step 3: Cross multiply
   194,643x = 368,934.75 × 368,934.75
4. Step 4: Simplify right side
   194,643x = 136,112,849,757.56
5. Step 5: Solve for x
   x = 136,112,849,757.56/194,643
6. Step 6: Final answer
   x = 699,294.86