Finding the Third Proportional to 49,543.50 and 107,835

Step by Step Solution

1. Step 1: Write the proportion equation
   49,543.50 : 107,835 = 107,835 : x
2. Step 2: Convert to fraction form
   49,543.50/107,835 = 107,835/x
3. Step 3: Cross multiply
   49,543.50x = 107,835 × 107,835
4. Step 4: Simplify right side
   49,543.50x = 11,628,387,225
5. Step 5: Solve for x
   x = 11,628,387,225/49,543.50
6. Step 6: Final answer
   x = 234,710.65