Finding the Third Proportional to 164,467.50 and 358,635

Step by Step Solution

1. Step 1: Write the proportion equation
   164,467.50 : 358,635 = 358,635 : x
2. Step 2: Convert to fraction form
   164,467.50/358,635 = 358,635/x
3. Step 3: Cross multiply
   164,467.50x = 358,635 × 358,635
4. Step 4: Simplify right side
   164,467.50x = 128,619,063,225
5. Step 5: Solve for x
   x = 128,619,063,225/164,467.50
6. Step 6: Final answer
   x = 782,033.31