Finding the Third Proportional to 113,967 and 295,852.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,967 : 295,852.50 = 295,852.50 : x
2. Step 2: Convert to fraction form
   113,967/295,852.50 = 295,852.50/x
3. Step 3: Cross multiply
   113,967x = 295,852.50 × 295,852.50
4. Step 4: Simplify right side
   113,967x = 87,528,701,756.25
5. Step 5: Solve for x
   x = 87,528,701,756.25/113,967
6. Step 6: Final answer
   x = 768,017.95