Finding the Third Proportional to 65,526 and 142,179

Step by Step Solution

1. Step 1: Write the proportion equation
   65,526 : 142,179 = 142,179 : x
2. Step 2: Convert to fraction form
   65,526/142,179 = 142,179/x
3. Step 3: Cross multiply
   65,526x = 142,179 × 142,179
4. Step 4: Simplify right side
   65,526x = 20,214,868,041
5. Step 5: Solve for x
   x = 20,214,868,041/65,526
6. Step 6: Final answer
   x = 308,501.48