Finding the Third Proportional to 288,955 and 383,412.50

Step by Step Solution

1. Step 1: Write the proportion equation
   288,955 : 383,412.50 = 383,412.50 : x
2. Step 2: Convert to fraction form
   288,955/383,412.50 = 383,412.50/x
3. Step 3: Cross multiply
   288,955x = 383,412.50 × 383,412.50
4. Step 4: Simplify right side
   288,955x = 147,005,145,156.25
5. Step 5: Solve for x
   x = 147,005,145,156.25/288,955
6. Step 6: Final answer
   x = 508,747.54