Finding the Third Proportional to 342.84 and 530.72

Step by Step Solution

1. Step 1: Write the proportion equation
   342.84 : 530.72 = 530.72 : x
2. Step 2: Convert to fraction form
   342.84/530.72 = 530.72/x
3. Step 3: Cross multiply
   342.84x = 530.72 × 530.72
4. Step 4: Simplify right side
   342.84x = 281,662.39
5. Step 5: Solve for x
   x = 281,662.39/342.84
6. Step 6: Final answer
   x = 821.55