Finding the Third Proportional to 100,902.94 and 214,105.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,902.94 : 214,105.50 = 214,105.50 : x
2. Step 2: Convert to fraction form
   100,902.94/214,105.50 = 214,105.50/x
3. Step 3: Cross multiply
   100,902.94x = 214,105.50 × 214,105.50
4. Step 4: Simplify right side
   100,902.94x = 45,841,165,130.25
5. Step 5: Solve for x
   x = 45,841,165,130.25/100,902.94
6. Step 6: Final answer
   x = 454,309.52