Finding the Third Proportional to 164,584 and 352,495.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,584 : 352,495.50 = 352,495.50 : x
2. Step 2: Convert to fraction form
   164,584/352,495.50 = 352,495.50/x
3. Step 3: Cross multiply
   164,584x = 352,495.50 × 352,495.50
4. Step 4: Simplify right side
   164,584x = 124,253,077,520.25
5. Step 5: Solve for x
   x = 124,253,077,520.25/164,584
6. Step 6: Final answer
   x = 754,952.35