Finding the Third Proportional to 375,200 and 536,500

Step by Step Solution

1. Step 1: Write the proportion equation
   375,200 : 536,500 = 536,500 : x
2. Step 2: Convert to fraction form
   375,200/536,500 = 536,500/x
3. Step 3: Cross multiply
   375,200x = 536,500 × 536,500
4. Step 4: Simplify right side
   375,200x = 287,832,250,000
5. Step 5: Solve for x
   x = 287,832,250,000/375,200
6. Step 6: Final answer
   x = 767,143.52