Finding the Third Proportional to 258,135 and 378,736.50

Step by Step Solution

1. Step 1: Write the proportion equation
   258,135 : 378,736.50 = 378,736.50 : x
2. Step 2: Convert to fraction form
   258,135/378,736.50 = 378,736.50/x
3. Step 3: Cross multiply
   258,135x = 378,736.50 × 378,736.50
4. Step 4: Simplify right side
   258,135x = 143,441,336,432.25
5. Step 5: Solve for x
   x = 143,441,336,432.25/258,135
6. Step 6: Final answer
   x = 555,683.41