Finding the Third Proportional to 164,914.50 and 359,454

Step by Step Solution

1. Step 1: Write the proportion equation
   164,914.50 : 359,454 = 359,454 : x
2. Step 2: Convert to fraction form
   164,914.50/359,454 = 359,454/x
3. Step 3: Cross multiply
   164,914.50x = 359,454 × 359,454
4. Step 4: Simplify right side
   164,914.50x = 129,207,178,116
5. Step 5: Solve for x
   x = 129,207,178,116/164,914.50
6. Step 6: Final answer
   x = 783,479.79