Finding the Third Proportional to 105,992 and 148,547

Step by Step Solution

1. Step 1: Write the proportion equation
   105,992 : 148,547 = 148,547 : x
2. Step 2: Convert to fraction form
   105,992/148,547 = 148,547/x
3. Step 3: Cross multiply
   105,992x = 148,547 × 148,547
4. Step 4: Simplify right side
   105,992x = 22,066,211,209
5. Step 5: Solve for x
   x = 22,066,211,209/105,992
6. Step 6: Final answer
   x = 208,187.52