Finding the Third Proportional to 49,369 and 108,391.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,369 : 108,391.50 = 108,391.50 : x
2. Step 2: Convert to fraction form
   49,369/108,391.50 = 108,391.50/x
3. Step 3: Cross multiply
   49,369x = 108,391.50 × 108,391.50
4. Step 4: Simplify right side
   49,369x = 11,748,717,272.25
5. Step 5: Solve for x
   x = 11,748,717,272.25/49,369
6. Step 6: Final answer
   x = 237,977.62