Finding the Third Proportional to 194,859 and 418,725.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,859 : 418,725.50 = 418,725.50 : x
2. Step 2: Convert to fraction form
   194,859/418,725.50 = 418,725.50/x
3. Step 3: Cross multiply
   194,859x = 418,725.50 × 418,725.50
4. Step 4: Simplify right side
   194,859x = 175,331,044,350.25
5. Step 5: Solve for x
   x = 175,331,044,350.25/194,859
6. Step 6: Final answer
   x = 899,784.17