Finding the Third Proportional to 42,564 and 92,500

Step by Step Solution

1. Step 1: Write the proportion equation
   42,564 : 92,500 = 92,500 : x
2. Step 2: Convert to fraction form
   42,564/92,500 = 92,500/x
3. Step 3: Cross multiply
   42,564x = 92,500 × 92,500
4. Step 4: Simplify right side
   42,564x = 8,556,250,000
5. Step 5: Solve for x
   x = 8,556,250,000/42,564
6. Step 6: Final answer
   x = 201,020.82