Finding the Third Proportional to 164,578.50 and 359,316

Step by Step Solution

1. Step 1: Write the proportion equation
   164,578.50 : 359,316 = 359,316 : x
2. Step 2: Convert to fraction form
   164,578.50/359,316 = 359,316/x
3. Step 3: Cross multiply
   164,578.50x = 359,316 × 359,316
4. Step 4: Simplify right side
   164,578.50x = 129,107,987,856
5. Step 5: Solve for x
   x = 129,107,987,856/164,578.50
6. Step 6: Final answer
   x = 784,476.63