Finding the Third Proportional to 100,902 and 214,103.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,902 : 214,103.50 = 214,103.50 : x
2. Step 2: Convert to fraction form
   100,902/214,103.50 = 214,103.50/x
3. Step 3: Cross multiply
   100,902x = 214,103.50 × 214,103.50
4. Step 4: Simplify right side
   100,902x = 45,840,308,712.25
5. Step 5: Solve for x
   x = 45,840,308,712.25/100,902
6. Step 6: Final answer
   x = 454,305.25