Finding the Third Proportional to 109,752 and 174,534

Step by Step Solution

1. Step 1: Write the proportion equation
   109,752 : 174,534 = 174,534 : x
2. Step 2: Convert to fraction form
   109,752/174,534 = 174,534/x
3. Step 3: Cross multiply
   109,752x = 174,534 × 174,534
4. Step 4: Simplify right side
   109,752x = 30,462,117,156
5. Step 5: Solve for x
   x = 30,462,117,156/109,752
6. Step 6: Final answer
   x = 277,554.10