Finding the Third Proportional to 77,792 and 116,672

Step by Step Solution

1. Step 1: Write the proportion equation
   77,792 : 116,672 = 116,672 : x
2. Step 2: Convert to fraction form
   77,792/116,672 = 116,672/x
3. Step 3: Cross multiply
   77,792x = 116,672 × 116,672
4. Step 4: Simplify right side
   77,792x = 13,612,355,584
5. Step 5: Solve for x
   x = 13,612,355,584/77,792
6. Step 6: Final answer
   x = 174,984.00