Finding the Third Proportional to 64,905 and 139,204.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,905 : 139,204.50 = 139,204.50 : x
2. Step 2: Convert to fraction form
   64,905/139,204.50 = 139,204.50/x
3. Step 3: Cross multiply
   64,905x = 139,204.50 × 139,204.50
4. Step 4: Simplify right side
   64,905x = 19,377,892,820.25
5. Step 5: Solve for x
   x = 19,377,892,820.25/64,905
6. Step 6: Final answer
   x = 298,557.78