Finding the Third Proportional to 78,672 and 117,984

Step by Step Solution

1. Step 1: Write the proportion equation
   78,672 : 117,984 = 117,984 : x
2. Step 2: Convert to fraction form
   78,672/117,984 = 117,984/x
3. Step 3: Cross multiply
   78,672x = 117,984 × 117,984
4. Step 4: Simplify right side
   78,672x = 13,920,224,256
5. Step 5: Solve for x
   x = 13,920,224,256/78,672
6. Step 6: Final answer
   x = 176,940.01