Finding the Third Proportional to 52,645 and 114,038

Step by Step Solution

1. Step 1: Write the proportion equation
   52,645 : 114,038 = 114,038 : x
2. Step 2: Convert to fraction form
   52,645/114,038 = 114,038/x
3. Step 3: Cross multiply
   52,645x = 114,038 × 114,038
4. Step 4: Simplify right side
   52,645x = 13,004,665,444
5. Step 5: Solve for x
   x = 13,004,665,444/52,645
6. Step 6: Final answer
   x = 247,025.65