Finding the Third Proportional to 52,645 and 116,363

Step by Step Solution

1. Step 1: Write the proportion equation
   52,645 : 116,363 = 116,363 : x
2. Step 2: Convert to fraction form
   52,645/116,363 = 116,363/x
3. Step 3: Cross multiply
   52,645x = 116,363 × 116,363
4. Step 4: Simplify right side
   52,645x = 13,540,347,769
5. Step 5: Solve for x
   x = 13,540,347,769/52,645
6. Step 6: Final answer
   x = 257,201.02