Finding the Third Proportional to 64,680 and 137,208

Step by Step Solution

1. Step 1: Write the proportion equation
   64,680 : 137,208 = 137,208 : x
2. Step 2: Convert to fraction form
   64,680/137,208 = 137,208/x
3. Step 3: Cross multiply
   64,680x = 137,208 × 137,208
4. Step 4: Simplify right side
   64,680x = 18,826,035,264
5. Step 5: Solve for x
   x = 18,826,035,264/64,680
6. Step 6: Final answer
   x = 291,064.24