Finding the Third Proportional to 307.50 and 522.38

Step by Step Solution

1. Step 1: Write the proportion equation
   307.50 : 522.38 = 522.38 : x
2. Step 2: Convert to fraction form
   307.50/522.38 = 522.38/x
3. Step 3: Cross multiply
   307.50x = 522.38 × 522.38
4. Step 4: Simplify right side
   307.50x = 272,875.64
5. Step 5: Solve for x
   x = 272,875.64/307.50
6. Step 6: Final answer
   x = 887.40