Finding the Third Proportional to 65,156 and 142,780

Step by Step Solution

1. Step 1: Write the proportion equation
   65,156 : 142,780 = 142,780 : x
2. Step 2: Convert to fraction form
   65,156/142,780 = 142,780/x
3. Step 3: Cross multiply
   65,156x = 142,780 × 142,780
4. Step 4: Simplify right side
   65,156x = 20,386,128,400
5. Step 5: Solve for x
   x = 20,386,128,400/65,156
6. Step 6: Final answer
   x = 312,881.83