Finding the Third Proportional to 83,974 and 130,017.75

Step by Step Solution

1. Step 1: Write the proportion equation
   83,974 : 130,017.75 = 130,017.75 : x
2. Step 2: Convert to fraction form
   83,974/130,017.75 = 130,017.75/x
3. Step 3: Cross multiply
   83,974x = 130,017.75 × 130,017.75
4. Step 4: Simplify right side
   83,974x = 16,904,615,315.06
5. Step 5: Solve for x
   x = 16,904,615,315.06/83,974
6. Step 6: Final answer
   x = 201,307.73