Finding the Third Proportional to 52,906 and 116,432

Step by Step Solution

1. Step 1: Write the proportion equation
   52,906 : 116,432 = 116,432 : x
2. Step 2: Convert to fraction form
   52,906/116,432 = 116,432/x
3. Step 3: Cross multiply
   52,906x = 116,432 × 116,432
4. Step 4: Simplify right side
   52,906x = 13,556,410,624
5. Step 5: Solve for x
   x = 13,556,410,624/52,906
6. Step 6: Final answer
   x = 256,235.79