Finding the Third Proportional to 77,832 and 116,748

Step by Step Solution

1. Step 1: Write the proportion equation
   77,832 : 116,748 = 116,748 : x
2. Step 2: Convert to fraction form
   77,832/116,748 = 116,748/x
3. Step 3: Cross multiply
   77,832x = 116,748 × 116,748
4. Step 4: Simplify right side
   77,832x = 13,630,095,504
5. Step 5: Solve for x
   x = 13,630,095,504/77,832
6. Step 6: Final answer
   x = 175,122