Finding the Third Proportional to 65,264 and 100,492

Step by Step Solution

1. Step 1: Write the proportion equation
   65,264 : 100,492 = 100,492 : x
2. Step 2: Convert to fraction form
   65,264/100,492 = 100,492/x
3. Step 3: Cross multiply
   65,264x = 100,492 × 100,492
4. Step 4: Simplify right side
   65,264x = 10,098,642,064
5. Step 5: Solve for x
   x = 10,098,642,064/65,264
6. Step 6: Final answer
   x = 154,735.26