Finding the Third Proportional to 164,214 and 354,064.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,214 : 354,064.50 = 354,064.50 : x
2. Step 2: Convert to fraction form
   164,214/354,064.50 = 354,064.50/x
3. Step 3: Cross multiply
   164,214x = 354,064.50 × 354,064.50
4. Step 4: Simplify right side
   164,214x = 125,361,670,160.25
5. Step 5: Solve for x
   x = 125,361,670,160.25/164,214
6. Step 6: Final answer
   x = 763,404.28