Finding the Third Proportional to 83,153 and 130,538

Step by Step Solution

1. Step 1: Write the proportion equation
   83,153 : 130,538 = 130,538 : x
2. Step 2: Convert to fraction form
   83,153/130,538 = 130,538/x
3. Step 3: Cross multiply
   83,153x = 130,538 × 130,538
4. Step 4: Simplify right side
   83,153x = 17,040,169,444
5. Step 5: Solve for x
   x = 17,040,169,444/83,153
6. Step 6: Final answer
   x = 204,925.49