Finding the Third Proportional to 164,699 and 359,516

Step by Step Solution

1. Step 1: Write the proportion equation
   164,699 : 359,516 = 359,516 : x
2. Step 2: Convert to fraction form
   164,699/359,516 = 359,516/x
3. Step 3: Cross multiply
   164,699x = 359,516 × 359,516
4. Step 4: Simplify right side
   164,699x = 129,251,754,256
5. Step 5: Solve for x
   x = 129,251,754,256/164,699
6. Step 6: Final answer
   x = 784,775.59