Finding the Third Proportional to 105,210 and 141,750

Step by Step Solution

1. Step 1: Write the proportion equation
   105,210 : 141,750 = 141,750 : x
2. Step 2: Convert to fraction form
   105,210/141,750 = 141,750/x
3. Step 3: Cross multiply
   105,210x = 141,750 × 141,750
4. Step 4: Simplify right side
   105,210x = 20,093,062,500
5. Step 5: Solve for x
   x = 20,093,062,500/105,210
6. Step 6: Final answer
   x = 190,980.54