Finding the Third Proportional to 105,272 and 152,380

Step by Step Solution

1. Step 1: Write the proportion equation
   105,272 : 152,380 = 152,380 : x
2. Step 2: Convert to fraction form
   105,272/152,380 = 152,380/x
3. Step 3: Cross multiply
   105,272x = 152,380 × 152,380
4. Step 4: Simplify right side
   105,272x = 23,219,664,400
5. Step 5: Solve for x
   x = 23,219,664,400/105,272
6. Step 6: Final answer
   x = 220,568.28