Finding the Third Proportional to 66,156 and 142,680

Step by Step Solution

1. Step 1: Write the proportion equation
   66,156 : 142,680 = 142,680 : x
2. Step 2: Convert to fraction form
   66,156/142,680 = 142,680/x
3. Step 3: Cross multiply
   66,156x = 142,680 × 142,680
4. Step 4: Simplify right side
   66,156x = 20,357,582,400
5. Step 5: Solve for x
   x = 20,357,582,400/66,156
6. Step 6: Final answer
   x = 307,720.88