Finding the Third Proportional to 138,414 and 301,840.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,414 : 301,840.50 = 301,840.50 : x
2. Step 2: Convert to fraction form
   138,414/301,840.50 = 301,840.50/x
3. Step 3: Cross multiply
   138,414x = 301,840.50 × 301,840.50
4. Step 4: Simplify right side
   138,414x = 91,107,687,440.25
5. Step 5: Solve for x
   x = 91,107,687,440.25/138,414
6. Step 6: Final answer
   x = 658,225.96