Finding the Third Proportional to 109,578 and 148,488

Step by Step Solution

1. Step 1: Write the proportion equation
   109,578 : 148,488 = 148,488 : x
2. Step 2: Convert to fraction form
   109,578/148,488 = 148,488/x
3. Step 3: Cross multiply
   109,578x = 148,488 × 148,488
4. Step 4: Simplify right side
   109,578x = 22,048,686,144
5. Step 5: Solve for x
   x = 22,048,686,144/109,578
6. Step 6: Final answer
   x = 201,214.53