Finding the Third Proportional to 520,085.50 and 776,696.25

Step by Step Solution

1. Step 1: Write the proportion equation
   520,085.50 : 776,696.25 = 776,696.25 : x
2. Step 2: Convert to fraction form
   520,085.50/776,696.25 = 776,696.25/x
3. Step 3: Cross multiply
   520,085.50x = 776,696.25 × 776,696.25
4. Step 4: Simplify right side
   520,085.50x = 603,257,064,764.06
5. Step 5: Solve for x
   x = 603,257,064,764.06/520,085.50
6. Step 6: Final answer
   x = 1,159,919.02