Finding the Third Proportional to 183,530.50 and 258,456

Step by Step Solution

1. Step 1: Write the proportion equation
   183,530.50 : 258,456 = 258,456 : x
2. Step 2: Convert to fraction form
   183,530.50/258,456 = 258,456/x
3. Step 3: Cross multiply
   183,530.50x = 258,456 × 258,456
4. Step 4: Simplify right side
   183,530.50x = 66,799,503,936
5. Step 5: Solve for x
   x = 66,799,503,936/183,530.50
6. Step 6: Final answer
   x = 363,969.50