Finding the Third Proportional to 105,264 and 141,840

Step by Step Solution

1. Step 1: Write the proportion equation
   105,264 : 141,840 = 141,840 : x
2. Step 2: Convert to fraction form
   105,264/141,840 = 141,840/x
3. Step 3: Cross multiply
   105,264x = 141,840 × 141,840
4. Step 4: Simplify right side
   105,264x = 20,118,585,600
5. Step 5: Solve for x
   x = 20,118,585,600/105,264
6. Step 6: Final answer
   x = 191,125.03