Finding the Third Proportional to 65,688 and 136,047

Step by Step Solution

1. Step 1: Write the proportion equation
   65,688 : 136,047 = 136,047 : x
2. Step 2: Convert to fraction form
   65,688/136,047 = 136,047/x
3. Step 3: Cross multiply
   65,688x = 136,047 × 136,047
4. Step 4: Simplify right side
   65,688x = 18,508,786,209
5. Step 5: Solve for x
   x = 18,508,786,209/65,688
6. Step 6: Final answer
   x = 281,768.15