Finding the Third Proportional to 359,174.25 and 535,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   359,174.25 : 535,648.50 = 535,648.50 : x
2. Step 2: Convert to fraction form
   359,174.25/535,648.50 = 535,648.50/x
3. Step 3: Cross multiply
   359,174.25x = 535,648.50 × 535,648.50
4. Step 4: Simplify right side
   359,174.25x = 286,919,315,552.25
5. Step 5: Solve for x
   x = 286,919,315,552.25/359,174.25
6. Step 6: Final answer
   x = 798,830.42