Finding the Third Proportional to 105,899 and 148,121

Step by Step Solution

1. Step 1: Write the proportion equation
   105,899 : 148,121 = 148,121 : x
2. Step 2: Convert to fraction form
   105,899/148,121 = 148,121/x
3. Step 3: Cross multiply
   105,899x = 148,121 × 148,121
4. Step 4: Simplify right side
   105,899x = 21,939,830,641
5. Step 5: Solve for x
   x = 21,939,830,641/105,899
6. Step 6: Final answer
   x = 207,176.94