Finding the Third Proportional to 305,414 and 466,018.50

Step by Step Solution

1. Step 1: Write the proportion equation
   305,414 : 466,018.50 = 466,018.50 : x
2. Step 2: Convert to fraction form
   305,414/466,018.50 = 466,018.50/x
3. Step 3: Cross multiply
   305,414x = 466,018.50 × 466,018.50
4. Step 4: Simplify right side
   305,414x = 217,173,242,342.25
5. Step 5: Solve for x
   x = 217,173,242,342.25/305,414
6. Step 6: Final answer
   x = 711,078.22