Finding the Third Proportional to 355,597.50 and 777,584

Step by Step Solution

1. Step 1: Write the proportion equation
   355,597.50 : 777,584 = 777,584 : x
2. Step 2: Convert to fraction form
   355,597.50/777,584 = 777,584/x
3. Step 3: Cross multiply
   355,597.50x = 777,584 × 777,584
4. Step 4: Simplify right side
   355,597.50x = 604,636,877,056
5. Step 5: Solve for x
   x = 604,636,877,056/355,597.50
6. Step 6: Final answer
   x = 1,700,340.63