Finding the Third Proportional to 65,672 and 139,528

Step by Step Solution

1. Step 1: Write the proportion equation
   65,672 : 139,528 = 139,528 : x
2. Step 2: Convert to fraction form
   65,672/139,528 = 139,528/x
3. Step 3: Cross multiply
   65,672x = 139,528 × 139,528
4. Step 4: Simplify right side
   65,672x = 19,468,062,784
5. Step 5: Solve for x
   x = 19,468,062,784/65,672
6. Step 6: Final answer
   x = 296,443.88