Finding the Third Proportional to 49,347 and 108,535

Step by Step Solution

1. Step 1: Write the proportion equation
   49,347 : 108,535 = 108,535 : x
2. Step 2: Convert to fraction form
   49,347/108,535 = 108,535/x
3. Step 3: Cross multiply
   49,347x = 108,535 × 108,535
4. Step 4: Simplify right side
   49,347x = 11,779,846,225
5. Step 5: Solve for x
   x = 11,779,846,225/49,347
6. Step 6: Final answer
   x = 238,714.54