Finding the Third Proportional to 164,640 and 359,412

Step by Step Solution

1. Step 1: Write the proportion equation
   164,640 : 359,412 = 359,412 : x
2. Step 2: Convert to fraction form
   164,640/359,412 = 359,412/x
3. Step 3: Cross multiply
   164,640x = 359,412 × 359,412
4. Step 4: Simplify right side
   164,640x = 129,176,985,744
5. Step 5: Solve for x
   x = 129,176,985,744/164,640
6. Step 6: Final answer
   x = 784,602.68