Finding the Third Proportional to 328,123.50 and 514,054.50

Step by Step Solution

1. Step 1: Write the proportion equation
   328,123.50 : 514,054.50 = 514,054.50 : x
2. Step 2: Convert to fraction form
   328,123.50/514,054.50 = 514,054.50/x
3. Step 3: Cross multiply
   328,123.50x = 514,054.50 × 514,054.50
4. Step 4: Simplify right side
   328,123.50x = 264,252,028,970.25
5. Step 5: Solve for x
   x = 264,252,028,970.25/328,123.50
6. Step 6: Final answer
   x = 805,343.20