Finding the Third Proportional to 416,781 and 598,927.50

Step by Step Solution

1. Step 1: Write the proportion equation
   416,781 : 598,927.50 = 598,927.50 : x
2. Step 2: Convert to fraction form
   416,781/598,927.50 = 598,927.50/x
3. Step 3: Cross multiply
   416,781x = 598,927.50 × 598,927.50
4. Step 4: Simplify right side
   416,781x = 358,714,150,256.25
5. Step 5: Solve for x
   x = 358,714,150,256.25/416,781
6. Step 6: Final answer
   x = 860,677.79