Finding the Third Proportional to 164,684 and 354,342.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,684 : 354,342.50 = 354,342.50 : x
2. Step 2: Convert to fraction form
   164,684/354,342.50 = 354,342.50/x
3. Step 3: Cross multiply
   164,684x = 354,342.50 × 354,342.50
4. Step 4: Simplify right side
   164,684x = 125,558,607,306.25
5. Step 5: Solve for x
   x = 125,558,607,306.25/164,684
6. Step 6: Final answer
   x = 762,421.41