Finding the Third Proportional to 88,492 and 191,072

Step by Step Solution

1. Step 1: Write the proportion equation
   88,492 : 191,072 = 191,072 : x
2. Step 2: Convert to fraction form
   88,492/191,072 = 191,072/x
3. Step 3: Cross multiply
   88,492x = 191,072 × 191,072
4. Step 4: Simplify right side
   88,492x = 36,508,509,184
5. Step 5: Solve for x
   x = 36,508,509,184/88,492
6. Step 6: Final answer
   x = 412,562.82