Finding the Third Proportional to 164,176 and 359,491.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,176 : 359,491.50 = 359,491.50 : x
2. Step 2: Convert to fraction form
   164,176/359,491.50 = 359,491.50/x
3. Step 3: Cross multiply
   164,176x = 359,491.50 × 359,491.50
4. Step 4: Simplify right side
   164,176x = 129,234,138,572.25
5. Step 5: Solve for x
   x = 129,234,138,572.25/164,176
6. Step 6: Final answer
   x = 787,168.27