Finding the Third Proportional to 345.50 and 530.88

Step by Step Solution

1. Step 1: Write the proportion equation
   345.50 : 530.88 = 530.88 : x
2. Step 2: Convert to fraction form
   345.50/530.88 = 530.88/x
3. Step 3: Cross multiply
   345.50x = 530.88 × 530.88
4. Step 4: Simplify right side
   345.50x = 281,828.27
5. Step 5: Solve for x
   x = 281,828.27/345.50
6. Step 6: Final answer
   x = 815.71