Finding the Third Proportional to 50,153 and 109,297

Step by Step Solution

1. Step 1: Write the proportion equation
   50,153 : 109,297 = 109,297 : x
2. Step 2: Convert to fraction form
   50,153/109,297 = 109,297/x
3. Step 3: Cross multiply
   50,153x = 109,297 × 109,297
4. Step 4: Simplify right side
   50,153x = 11,945,834,209
5. Step 5: Solve for x
   x = 11,945,834,209/50,153
6. Step 6: Final answer
   x = 238,187.83