Finding the Third Proportional to 66,506 and 141,638

Step by Step Solution

1. Step 1: Write the proportion equation
   66,506 : 141,638 = 141,638 : x
2. Step 2: Convert to fraction form
   66,506/141,638 = 141,638/x
3. Step 3: Cross multiply
   66,506x = 141,638 × 141,638
4. Step 4: Simplify right side
   66,506x = 20,061,323,044
5. Step 5: Solve for x
   x = 20,061,323,044/66,506
6. Step 6: Final answer
   x = 301,646.81