Finding the Third Proportional to 83,363 and 109,492

Step by Step Solution

1. Step 1: Write the proportion equation
   83,363 : 109,492 = 109,492 : x
2. Step 2: Convert to fraction form
   83,363/109,492 = 109,492/x
3. Step 3: Cross multiply
   83,363x = 109,492 × 109,492
4. Step 4: Simplify right side
   83,363x = 11,988,498,064
5. Step 5: Solve for x
   x = 11,988,498,064/83,363
6. Step 6: Final answer
   x = 143,810.78