Finding the Third Proportional to 164,223 and 355,432.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,223 : 355,432.50 = 355,432.50 : x
2. Step 2: Convert to fraction form
   164,223/355,432.50 = 355,432.50/x
3. Step 3: Cross multiply
   164,223x = 355,432.50 × 355,432.50
4. Step 4: Simplify right side
   164,223x = 126,332,262,056.25
5. Step 5: Solve for x
   x = 126,332,262,056.25/164,223
6. Step 6: Final answer
   x = 769,272.65