Finding the Third Proportional to 164,488.50 and 358,704

Step by Step Solution

1. Step 1: Write the proportion equation
   164,488.50 : 358,704 = 358,704 : x
2. Step 2: Convert to fraction form
   164,488.50/358,704 = 358,704/x
3. Step 3: Cross multiply
   164,488.50x = 358,704 × 358,704
4. Step 4: Simplify right side
   164,488.50x = 128,668,559,616
5. Step 5: Solve for x
   x = 128,668,559,616/164,488.50
6. Step 6: Final answer
   x = 782,234.38