Finding the Third Proportional to 101,853 and 219,308.25

Step by Step Solution

1. Step 1: Write the proportion equation
   101,853 : 219,308.25 = 219,308.25 : x
2. Step 2: Convert to fraction form
   101,853/219,308.25 = 219,308.25/x
3. Step 3: Cross multiply
   101,853x = 219,308.25 × 219,308.25
4. Step 4: Simplify right side
   101,853x = 48,096,108,518.06
5. Step 5: Solve for x
   x = 48,096,108,518.06/101,853
6. Step 6: Final answer
   x = 472,211.02