Finding the Third Proportional to 78,024 and 117,570

Step by Step Solution

1. Step 1: Write the proportion equation
   78,024 : 117,570 = 117,570 : x
2. Step 2: Convert to fraction form
   78,024/117,570 = 117,570/x
3. Step 3: Cross multiply
   78,024x = 117,570 × 117,570
4. Step 4: Simplify right side
   78,024x = 13,822,704,900
5. Step 5: Solve for x
   x = 13,822,704,900/78,024
6. Step 6: Final answer
   x = 177,159.65