Finding the Third Proportional to 262,694 and 416,032.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,694 : 416,032.50 = 416,032.50 : x
2. Step 2: Convert to fraction form
   262,694/416,032.50 = 416,032.50/x
3. Step 3: Cross multiply
   262,694x = 416,032.50 × 416,032.50
4. Step 4: Simplify right side
   262,694x = 173,083,041,056.25
5. Step 5: Solve for x
   x = 173,083,041,056.25/262,694
6. Step 6: Final answer
   x = 658,877.02