Finding the Third Proportional to 164,977.50 and 359,574

Step by Step Solution

1. Step 1: Write the proportion equation
   164,977.50 : 359,574 = 359,574 : x
2. Step 2: Convert to fraction form
   164,977.50/359,574 = 359,574/x
3. Step 3: Cross multiply
   164,977.50x = 359,574 × 359,574
4. Step 4: Simplify right side
   164,977.50x = 129,293,461,476
5. Step 5: Solve for x
   x = 129,293,461,476/164,977.50
6. Step 6: Final answer
   x = 783,703.60