Finding the Third Proportional to 105,988 and 148,565

Step by Step Solution

1. Step 1: Write the proportion equation
   105,988 : 148,565 = 148,565 : x
2. Step 2: Convert to fraction form
   105,988/148,565 = 148,565/x
3. Step 3: Cross multiply
   105,988x = 148,565 × 148,565
4. Step 4: Simplify right side
   105,988x = 22,071,559,225
5. Step 5: Solve for x
   x = 22,071,559,225/105,988
6. Step 6: Final answer
   x = 208,245.83