Finding the Third Proportional to 416,091 and 616,360.50

Step by Step Solution

1. Step 1: Write the proportion equation
   416,091 : 616,360.50 = 616,360.50 : x
2. Step 2: Convert to fraction form
   416,091/616,360.50 = 616,360.50/x
3. Step 3: Cross multiply
   416,091x = 616,360.50 × 616,360.50
4. Step 4: Simplify right side
   416,091x = 379,900,265,960.25
5. Step 5: Solve for x
   x = 379,900,265,960.25/416,091
6. Step 6: Final answer
   x = 913,022.07