Finding the Third Proportional to 83,658 and 130,428

Step by Step Solution

1. Step 1: Write the proportion equation
   83,658 : 130,428 = 130,428 : x
2. Step 2: Convert to fraction form
   83,658/130,428 = 130,428/x
3. Step 3: Cross multiply
   83,658x = 130,428 × 130,428
4. Step 4: Simplify right side
   83,658x = 17,011,463,184
5. Step 5: Solve for x
   x = 17,011,463,184/83,658
6. Step 6: Final answer
   x = 203,345.32