Finding the Third Proportional to 66,184 and 142,736

Step by Step Solution

1. Step 1: Write the proportion equation
   66,184 : 142,736 = 142,736 : x
2. Step 2: Convert to fraction form
   66,184/142,736 = 142,736/x
3. Step 3: Cross multiply
   66,184x = 142,736 × 142,736
4. Step 4: Simplify right side
   66,184x = 20,373,565,696
5. Step 5: Solve for x
   x = 20,373,565,696/66,184
6. Step 6: Final answer
   x = 307,832.19