Finding the Third Proportional to 164,522 and 359,156

Step by Step Solution

1. Step 1: Write the proportion equation
   164,522 : 359,156 = 359,156 : x
2. Step 2: Convert to fraction form
   164,522/359,156 = 359,156/x
3. Step 3: Cross multiply
   164,522x = 359,156 × 359,156
4. Step 4: Simplify right side
   164,522x = 128,993,032,336
5. Step 5: Solve for x
   x = 128,993,032,336/164,522
6. Step 6: Final answer
   x = 784,047.31