Finding the Third Proportional to 245,085.75 and 405,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   245,085.75 : 405,022.50 = 405,022.50 : x
2. Step 2: Convert to fraction form
   245,085.75/405,022.50 = 405,022.50/x
3. Step 3: Cross multiply
   245,085.75x = 405,022.50 × 405,022.50
4. Step 4: Simplify right side
   245,085.75x = 164,043,225,506.25
5. Step 5: Solve for x
   x = 164,043,225,506.25/245,085.75
6. Step 6: Final answer
   x = 669,329.92