Finding the Third Proportional to 355,517 and 777,543.50

Step by Step Solution

1. Step 1: Write the proportion equation
   355,517 : 777,543.50 = 777,543.50 : x
2. Step 2: Convert to fraction form
   355,517/777,543.50 = 777,543.50/x
3. Step 3: Cross multiply
   355,517x = 777,543.50 × 777,543.50
4. Step 4: Simplify right side
   355,517x = 604,573,894,392.25
5. Step 5: Solve for x
   x = 604,573,894,392.25/355,517
6. Step 6: Final answer
   x = 1,700,548.48