Finding the Third Proportional to 63,314 and 133,780

Step by Step Solution

1. Step 1: Write the proportion equation
   63,314 : 133,780 = 133,780 : x
2. Step 2: Convert to fraction form
   63,314/133,780 = 133,780/x
3. Step 3: Cross multiply
   63,314x = 133,780 × 133,780
4. Step 4: Simplify right side
   63,314x = 17,897,088,400
5. Step 5: Solve for x
   x = 17,897,088,400/63,314
6. Step 6: Final answer
   x = 282,671.90