Finding the Third Proportional to 109,188 and 173,124

Step by Step Solution

1. Step 1: Write the proportion equation
   109,188 : 173,124 = 173,124 : x
2. Step 2: Convert to fraction form
   109,188/173,124 = 173,124/x
3. Step 3: Cross multiply
   109,188x = 173,124 × 173,124
4. Step 4: Simplify right side
   109,188x = 29,971,919,376
5. Step 5: Solve for x
   x = 29,971,919,376/109,188
6. Step 6: Final answer
   x = 274,498.29