Finding the Third Proportional to 49,830 and 109,003.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,830 : 109,003.50 = 109,003.50 : x
2. Step 2: Convert to fraction form
   49,830/109,003.50 = 109,003.50/x
3. Step 3: Cross multiply
   49,830x = 109,003.50 × 109,003.50
4. Step 4: Simplify right side
   49,830x = 11,881,763,012.25
5. Step 5: Solve for x
   x = 11,881,763,012.25/49,830
6. Step 6: Final answer
   x = 238,445.98