Finding the Third Proportional to 132,414 and 288,156

Step by Step Solution

1. Step 1: Write the proportion equation
   132,414 : 288,156 = 288,156 : x
2. Step 2: Convert to fraction form
   132,414/288,156 = 288,156/x
3. Step 3: Cross multiply
   132,414x = 288,156 × 288,156
4. Step 4: Simplify right side
   132,414x = 83,033,880,336
5. Step 5: Solve for x
   x = 83,033,880,336/132,414
6. Step 6: Final answer
   x = 627,077.80