Finding the Third Proportional to 100,492 and 152,044

Step by Step Solution

1. Step 1: Write the proportion equation
   100,492 : 152,044 = 152,044 : x
2. Step 2: Convert to fraction form
   100,492/152,044 = 152,044/x
3. Step 3: Cross multiply
   100,492x = 152,044 × 152,044
4. Step 4: Simplify right side
   100,492x = 23,117,377,936
5. Step 5: Solve for x
   x = 23,117,377,936/100,492
6. Step 6: Final answer
   x = 230,041.97