Finding the Third Proportional to 175,907.25 and 384,077.25

Step by Step Solution

1. Step 1: Write the proportion equation
   175,907.25 : 384,077.25 = 384,077.25 : x
2. Step 2: Convert to fraction form
   175,907.25/384,077.25 = 384,077.25/x
3. Step 3: Cross multiply
   175,907.25x = 384,077.25 × 384,077.25
4. Step 4: Simplify right side
   175,907.25x = 147,515,333,967.56
5. Step 5: Solve for x
   x = 147,515,333,967.56/175,907.25
6. Step 6: Final answer
   x = 838,597.24