Finding the Third Proportional to 101,219.50 and 214,892.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,219.50 : 214,892.50 = 214,892.50 : x
2. Step 2: Convert to fraction form
   101,219.50/214,892.50 = 214,892.50/x
3. Step 3: Cross multiply
   101,219.50x = 214,892.50 × 214,892.50
4. Step 4: Simplify right side
   101,219.50x = 46,178,786,556.25
5. Step 5: Solve for x
   x = 46,178,786,556.25/101,219.50
6. Step 6: Final answer
   x = 456,224.21