Finding the Third Proportional to 360,166.50 and 776,196

Step by Step Solution

1. Step 1: Write the proportion equation
   360,166.50 : 776,196 = 776,196 : x
2. Step 2: Convert to fraction form
   360,166.50/776,196 = 776,196/x
3. Step 3: Cross multiply
   360,166.50x = 776,196 × 776,196
4. Step 4: Simplify right side
   360,166.50x = 602,480,230,416
5. Step 5: Solve for x
   x = 602,480,230,416/360,166.50
6. Step 6: Final answer
   x = 1,672,782.53