Finding the Third Proportional to 77,298 and 117,570

Step by Step Solution

1. Step 1: Write the proportion equation
   77,298 : 117,570 = 117,570 : x
2. Step 2: Convert to fraction form
   77,298/117,570 = 117,570/x
3. Step 3: Cross multiply
   77,298x = 117,570 × 117,570
4. Step 4: Simplify right side
   77,298x = 13,822,704,900
5. Step 5: Solve for x
   x = 13,822,704,900/77,298
6. Step 6: Final answer
   x = 178,823.58