Finding the Third Proportional to 62,784 and 89,256

Step by Step Solution

1. Step 1: Write the proportion equation
   62,784 : 89,256 = 89,256 : x
2. Step 2: Convert to fraction form
   62,784/89,256 = 89,256/x
3. Step 3: Cross multiply
   62,784x = 89,256 × 89,256
4. Step 4: Simplify right side
   62,784x = 7,966,633,536
5. Step 5: Solve for x
   x = 7,966,633,536/62,784
6. Step 6: Final answer
   x = 126,889.55