Finding the Third Proportional to 83,646 and 130,410

Step by Step Solution

1. Step 1: Write the proportion equation
   83,646 : 130,410 = 130,410 : x
2. Step 2: Convert to fraction form
   83,646/130,410 = 130,410/x
3. Step 3: Cross multiply
   83,646x = 130,410 × 130,410
4. Step 4: Simplify right side
   83,646x = 17,006,768,100
5. Step 5: Solve for x
   x = 17,006,768,100/83,646
6. Step 6: Final answer
   x = 203,318.37