Finding the Third Proportional to 66,411 and 142,665.75

Step by Step Solution

1. Step 1: Write the proportion equation
   66,411 : 142,665.75 = 142,665.75 : x
2. Step 2: Convert to fraction form
   66,411/142,665.75 = 142,665.75/x
3. Step 3: Cross multiply
   66,411x = 142,665.75 × 142,665.75
4. Step 4: Simplify right side
   66,411x = 20,353,516,223.06
5. Step 5: Solve for x
   x = 20,353,516,223.06/66,411
6. Step 6: Final answer
   x = 306,478.09