Finding the Third Proportional to 52,712 and 115,152

Step by Step Solution

1. Step 1: Write the proportion equation
   52,712 : 115,152 = 115,152 : x
2. Step 2: Convert to fraction form
   52,712/115,152 = 115,152/x
3. Step 3: Cross multiply
   52,712x = 115,152 × 115,152
4. Step 4: Simplify right side
   52,712x = 13,259,983,104
5. Step 5: Solve for x
   x = 13,259,983,104/52,712
6. Step 6: Final answer
   x = 251,555.30