Finding the Third Proportional to 65,616 and 142,572

Step by Step Solution

1. Step 1: Write the proportion equation
   65,616 : 142,572 = 142,572 : x
2. Step 2: Convert to fraction form
   65,616/142,572 = 142,572/x
3. Step 3: Cross multiply
   65,616x = 142,572 × 142,572
4. Step 4: Simplify right side
   65,616x = 20,326,775,184
5. Step 5: Solve for x
   x = 20,326,775,184/65,616
6. Step 6: Final answer
   x = 309,783.82