Finding the Third Proportional to 506,385 and 776,489.63

Step by Step Solution

1. Step 1: Write the proportion equation
   506,385 : 776,489.63 = 776,489.63 : x
2. Step 2: Convert to fraction form
   506,385/776,489.63 = 776,489.63/x
3. Step 3: Cross multiply
   506,385x = 776,489.63 × 776,489.63
4. Step 4: Simplify right side
   506,385x = 602,936,137,732.64
5. Step 5: Solve for x
   x = 602,936,137,732.64/506,385
6. Step 6: Final answer
   x = 1,190,667.45