Finding the Third Proportional to 83,254 and 130,462

Step by Step Solution

1. Step 1: Write the proportion equation
   83,254 : 130,462 = 130,462 : x
2. Step 2: Convert to fraction form
   83,254/130,462 = 130,462/x
3. Step 3: Cross multiply
   83,254x = 130,462 × 130,462
4. Step 4: Simplify right side
   83,254x = 17,020,333,444
5. Step 5: Solve for x
   x = 17,020,333,444/83,254
6. Step 6: Final answer
   x = 204,438.63