Finding the Third Proportional to 65,672 and 142,352

Step by Step Solution

1. Step 1: Write the proportion equation
   65,672 : 142,352 = 142,352 : x
2. Step 2: Convert to fraction form
   65,672/142,352 = 142,352/x
3. Step 3: Cross multiply
   65,672x = 142,352 × 142,352
4. Step 4: Simplify right side
   65,672x = 20,264,091,904
5. Step 5: Solve for x
   x = 20,264,091,904/65,672
6. Step 6: Final answer
   x = 308,565.17