Finding the Third Proportional to 164,152 and 352,824.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,152 : 352,824.50 = 352,824.50 : x
2. Step 2: Convert to fraction form
   164,152/352,824.50 = 352,824.50/x
3. Step 3: Cross multiply
   164,152x = 352,824.50 × 352,824.50
4. Step 4: Simplify right side
   164,152x = 124,485,127,800.25
5. Step 5: Solve for x
   x = 124,485,127,800.25/164,152
6. Step 6: Final answer
   x = 758,352.79