Finding the Third Proportional to 52,262 and 78,636

Step by Step Solution

1. Step 1: Write the proportion equation
   52,262 : 78,636 = 78,636 : x
2. Step 2: Convert to fraction form
   52,262/78,636 = 78,636/x
3. Step 3: Cross multiply
   52,262x = 78,636 × 78,636
4. Step 4: Simplify right side
   52,262x = 6,183,620,496
5. Step 5: Solve for x
   x = 6,183,620,496/52,262
6. Step 6: Final answer
   x = 118,319.63