Finding the Third Proportional to 519,743.63 and 777,492

Step by Step Solution

1. Step 1: Write the proportion equation
   519,743.63 : 777,492 = 777,492 : x
2. Step 2: Convert to fraction form
   519,743.63/777,492 = 777,492/x
3. Step 3: Cross multiply
   519,743.63x = 777,492 × 777,492
4. Step 4: Simplify right side
   519,743.63x = 604,493,810,064
5. Step 5: Solve for x
   x = 604,493,810,064/519,743.63
6. Step 6: Final answer
   x = 1,163,061.52