Finding the Third Proportional to 50,188 and 109,124

Step by Step Solution

1. Step 1: Write the proportion equation
   50,188 : 109,124 = 109,124 : x
2. Step 2: Convert to fraction form
   50,188/109,124 = 109,124/x
3. Step 3: Cross multiply
   50,188x = 109,124 × 109,124
4. Step 4: Simplify right side
   50,188x = 11,908,047,376
5. Step 5: Solve for x
   x = 11,908,047,376/50,188
6. Step 6: Final answer
   x = 237,268.82