Finding the Third Proportional to 320,895 and 498,892.50

Step by Step Solution

1. Step 1: Write the proportion equation
   320,895 : 498,892.50 = 498,892.50 : x
2. Step 2: Convert to fraction form
   320,895/498,892.50 = 498,892.50/x
3. Step 3: Cross multiply
   320,895x = 498,892.50 × 498,892.50
4. Step 4: Simplify right side
   320,895x = 248,893,726,556.25
5. Step 5: Solve for x
   x = 248,893,726,556.25/320,895
6. Step 6: Final answer
   x = 775,623.57