Finding the Third Proportional to 258,327 and 363,883.50

Step by Step Solution

1. Step 1: Write the proportion equation
   258,327 : 363,883.50 = 363,883.50 : x
2. Step 2: Convert to fraction form
   258,327/363,883.50 = 363,883.50/x
3. Step 3: Cross multiply
   258,327x = 363,883.50 × 363,883.50
4. Step 4: Simplify right side
   258,327x = 132,411,201,572.25
5. Step 5: Solve for x
   x = 132,411,201,572.25/258,327
6. Step 6: Final answer
   x = 512,572.06