Finding the Third Proportional to 164,326.50 and 345,256.31

Step by Step Solution

1. Step 1: Write the proportion equation
   164,326.50 : 345,256.31 = 345,256.31 : x
2. Step 2: Convert to fraction form
   164,326.50/345,256.31 = 345,256.31/x
3. Step 3: Cross multiply
   164,326.50x = 345,256.31 × 345,256.31
4. Step 4: Simplify right side
   164,326.50x = 119,201,921,321.10
5. Step 5: Solve for x
   x = 119,201,921,321.10/164,326.50
6. Step 6: Final answer
   x = 725,396.82