Finding the Third Proportional to 183,524 and 258,447.50

Step by Step Solution

1. Step 1: Write the proportion equation
   183,524 : 258,447.50 = 258,447.50 : x
2. Step 2: Convert to fraction form
   183,524/258,447.50 = 258,447.50/x
3. Step 3: Cross multiply
   183,524x = 258,447.50 × 258,447.50
4. Step 4: Simplify right side
   183,524x = 66,795,110,256.25
5. Step 5: Solve for x
   x = 66,795,110,256.25/183,524
6. Step 6: Final answer
   x = 363,958.45