Finding the Third Proportional to 64,875 and 139,748

Step by Step Solution

1. Step 1: Write the proportion equation
   64,875 : 139,748 = 139,748 : x
2. Step 2: Convert to fraction form
   64,875/139,748 = 139,748/x
3. Step 3: Cross multiply
   64,875x = 139,748 × 139,748
4. Step 4: Simplify right side
   64,875x = 19,529,503,504
5. Step 5: Solve for x
   x = 19,529,503,504/64,875
6. Step 6: Final answer
   x = 301,032.81