Finding the Third Proportional to 139,999 and 307,214

Step by Step Solution

1. Step 1: Write the proportion equation
   139,999 : 307,214 = 307,214 : x
2. Step 2: Convert to fraction form
   139,999/307,214 = 307,214/x
3. Step 3: Cross multiply
   139,999x = 307,214 × 307,214
4. Step 4: Simplify right side
   139,999x = 94,380,441,796
5. Step 5: Solve for x
   x = 94,380,441,796/139,999
6. Step 6: Final answer
   x = 674,150.83