Finding the Third Proportional to 175,907 and 414,822.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,907 : 414,822.50 = 414,822.50 : x
2. Step 2: Convert to fraction form
   175,907/414,822.50 = 414,822.50/x
3. Step 3: Cross multiply
   175,907x = 414,822.50 × 414,822.50
4. Step 4: Simplify right side
   175,907x = 172,077,706,506.25
5. Step 5: Solve for x
   x = 172,077,706,506.25/175,907
6. Step 6: Final answer
   x = 978,231.15