Finding the Third Proportional to 56,494 and 83,012

Step by Step Solution

1. Step 1: Write the proportion equation
   56,494 : 83,012 = 83,012 : x
2. Step 2: Convert to fraction form
   56,494/83,012 = 83,012/x
3. Step 3: Cross multiply
   56,494x = 83,012 × 83,012
4. Step 4: Simplify right side
   56,494x = 6,890,992,144
5. Step 5: Solve for x
   x = 6,890,992,144/56,494
6. Step 6: Final answer
   x = 121,977.42