Finding the Third Proportional to 52,677 and 114,822

Step by Step Solution

1. Step 1: Write the proportion equation
   52,677 : 114,822 = 114,822 : x
2. Step 2: Convert to fraction form
   52,677/114,822 = 114,822/x
3. Step 3: Cross multiply
   52,677x = 114,822 × 114,822
4. Step 4: Simplify right side
   52,677x = 13,184,091,684
5. Step 5: Solve for x
   x = 13,184,091,684/52,677
6. Step 6: Final answer
   x = 250,281.75