Finding the Third Proportional to 164,762 and 359,595

Step by Step Solution

1. Step 1: Write the proportion equation
   164,762 : 359,595 = 359,595 : x
2. Step 2: Convert to fraction form
   164,762/359,595 = 359,595/x
3. Step 3: Cross multiply
   164,762x = 359,595 × 359,595
4. Step 4: Simplify right side
   164,762x = 129,308,564,025
5. Step 5: Solve for x
   x = 129,308,564,025/164,762
6. Step 6: Final answer
   x = 784,820.31