Finding the Third Proportional to 323,641 and 502,501.50

Step by Step Solution

1. Step 1: Write the proportion equation
   323,641 : 502,501.50 = 502,501.50 : x
2. Step 2: Convert to fraction form
   323,641/502,501.50 = 502,501.50/x
3. Step 3: Cross multiply
   323,641x = 502,501.50 × 502,501.50
4. Step 4: Simplify right side
   323,641x = 252,507,757,502.25
5. Step 5: Solve for x
   x = 252,507,757,502.25/323,641
6. Step 6: Final answer
   x = 780,209.42