Finding the Third Proportional to 164,513 and 359,138

Step by Step Solution

1. Step 1: Write the proportion equation
   164,513 : 359,138 = 359,138 : x
2. Step 2: Convert to fraction form
   164,513/359,138 = 359,138/x
3. Step 3: Cross multiply
   164,513x = 359,138 × 359,138
4. Step 4: Simplify right side
   164,513x = 128,980,103,044
5. Step 5: Solve for x
   x = 128,980,103,044/164,513
6. Step 6: Final answer
   x = 784,011.62