Finding the Third Proportional to 52,352 and 109,120

Step by Step Solution

1. Step 1: Write the proportion equation
   52,352 : 109,120 = 109,120 : x
2. Step 2: Convert to fraction form
   52,352/109,120 = 109,120/x
3. Step 3: Cross multiply
   52,352x = 109,120 × 109,120
4. Step 4: Simplify right side
   52,352x = 11,907,174,400
5. Step 5: Solve for x
   x = 11,907,174,400/52,352
6. Step 6: Final answer
   x = 227,444.50