Finding the Third Proportional to 52,140 and 110,019

Step by Step Solution

1. Step 1: Write the proportion equation
   52,140 : 110,019 = 110,019 : x
2. Step 2: Convert to fraction form
   52,140/110,019 = 110,019/x
3. Step 3: Cross multiply
   52,140x = 110,019 × 110,019
4. Step 4: Simplify right side
   52,140x = 12,104,180,361
5. Step 5: Solve for x
   x = 12,104,180,361/52,140
6. Step 6: Final answer
   x = 232,147.69