Finding the Third Proportional to 105,271 and 152,377

Step by Step Solution

1. Step 1: Write the proportion equation
   105,271 : 152,377 = 152,377 : x
2. Step 2: Convert to fraction form
   105,271/152,377 = 152,377/x
3. Step 3: Cross multiply
   105,271x = 152,377 × 152,377
4. Step 4: Simplify right side
   105,271x = 23,218,750,129
5. Step 5: Solve for x
   x = 23,218,750,129/105,271
6. Step 6: Final answer
   x = 220,561.69