Finding the Third Proportional to 251,603 and 380,675.50

Step by Step Solution

1. Step 1: Write the proportion equation
   251,603 : 380,675.50 = 380,675.50 : x
2. Step 2: Convert to fraction form
   251,603/380,675.50 = 380,675.50/x
3. Step 3: Cross multiply
   251,603x = 380,675.50 × 380,675.50
4. Step 4: Simplify right side
   251,603x = 144,913,836,300.25
5. Step 5: Solve for x
   x = 144,913,836,300.25/251,603
6. Step 6: Final answer
   x = 575,962.28