Finding the Third Proportional to 52,946 and 116,262

Step by Step Solution

1. Step 1: Write the proportion equation
   52,946 : 116,262 = 116,262 : x
2. Step 2: Convert to fraction form
   52,946/116,262 = 116,262/x
3. Step 3: Cross multiply
   52,946x = 116,262 × 116,262
4. Step 4: Simplify right side
   52,946x = 13,516,852,644
5. Step 5: Solve for x
   x = 13,516,852,644/52,946
6. Step 6: Final answer
   x = 255,295.07