Finding the Third Proportional to 327,588 and 508,876.50

Step by Step Solution

1. Step 1: Write the proportion equation
   327,588 : 508,876.50 = 508,876.50 : x
2. Step 2: Convert to fraction form
   327,588/508,876.50 = 508,876.50/x
3. Step 3: Cross multiply
   327,588x = 508,876.50 × 508,876.50
4. Step 4: Simplify right side
   327,588x = 258,955,292,252.25
5. Step 5: Solve for x
   x = 258,955,292,252.25/327,588
6. Step 6: Final answer
   x = 790,490.78