Finding the Third Proportional to 520,464 and 776,376.50

Step by Step Solution

1. Step 1: Write the proportion equation
   520,464 : 776,376.50 = 776,376.50 : x
2. Step 2: Convert to fraction form
   520,464/776,376.50 = 776,376.50/x
3. Step 3: Cross multiply
   520,464x = 776,376.50 × 776,376.50
4. Step 4: Simplify right side
   520,464x = 602,760,469,752.25
5. Step 5: Solve for x
   x = 602,760,469,752.25/520,464
6. Step 6: Final answer
   x = 1,158,121.35