Finding the Third Proportional to 77,492 and 116,238

Step by Step Solution

1. Step 1: Write the proportion equation
   77,492 : 116,238 = 116,238 : x
2. Step 2: Convert to fraction form
   77,492/116,238 = 116,238/x
3. Step 3: Cross multiply
   77,492x = 116,238 × 116,238
4. Step 4: Simplify right side
   77,492x = 13,511,272,644
5. Step 5: Solve for x
   x = 13,511,272,644/77,492
6. Step 6: Final answer
   x = 174,357