Finding the Third Proportional to 49,762.50 and 109,365

Step by Step Solution

1. Step 1: Write the proportion equation
   49,762.50 : 109,365 = 109,365 : x
2. Step 2: Convert to fraction form
   49,762.50/109,365 = 109,365/x
3. Step 3: Cross multiply
   49,762.50x = 109,365 × 109,365
4. Step 4: Simplify right side
   49,762.50x = 11,960,703,225
5. Step 5: Solve for x
   x = 11,960,703,225/49,762.50
6. Step 6: Final answer
   x = 240,355.75