Finding the Third Proportional to 52,877 and 115,222

Step by Step Solution

1. Step 1: Write the proportion equation
   52,877 : 115,222 = 115,222 : x
2. Step 2: Convert to fraction form
   52,877/115,222 = 115,222/x
3. Step 3: Cross multiply
   52,877x = 115,222 × 115,222
4. Step 4: Simplify right side
   52,877x = 13,276,109,284
5. Step 5: Solve for x
   x = 13,276,109,284/52,877
6. Step 6: Final answer
   x = 251,075.31