Finding the Third Proportional to 45,932 and 82,798

Step by Step Solution

1. Step 1: Write the proportion equation
   45,932 : 82,798 = 82,798 : x
2. Step 2: Convert to fraction form
   45,932/82,798 = 82,798/x
3. Step 3: Cross multiply
   45,932x = 82,798 × 82,798
4. Step 4: Simplify right side
   45,932x = 6,855,508,804
5. Step 5: Solve for x
   x = 6,855,508,804/45,932
6. Step 6: Final answer
   x = 149,253.44