Finding the Third Proportional to 274,410 and 416,479.50

Step by Step Solution

1. Step 1: Write the proportion equation
   274,410 : 416,479.50 = 416,479.50 : x
2. Step 2: Convert to fraction form
   274,410/416,479.50 = 416,479.50/x
3. Step 3: Cross multiply
   274,410x = 416,479.50 × 416,479.50
4. Step 4: Simplify right side
   274,410x = 173,455,173,920.25
5. Step 5: Solve for x
   x = 173,455,173,920.25/274,410
6. Step 6: Final answer
   x = 632,102.23