Finding the Third Proportional to 64,320 and 139,374

Step by Step Solution

1. Step 1: Write the proportion equation
   64,320 : 139,374 = 139,374 : x
2. Step 2: Convert to fraction form
   64,320/139,374 = 139,374/x
3. Step 3: Cross multiply
   64,320x = 139,374 × 139,374
4. Step 4: Simplify right side
   64,320x = 19,425,111,876
5. Step 5: Solve for x
   x = 19,425,111,876/64,320
6. Step 6: Final answer
   x = 302,007.34