Finding the Third Proportional to 52,191 and 116,335

Step by Step Solution

1. Step 1: Write the proportion equation
   52,191 : 116,335 = 116,335 : x
2. Step 2: Convert to fraction form
   52,191/116,335 = 116,335/x
3. Step 3: Cross multiply
   52,191x = 116,335 × 116,335
4. Step 4: Simplify right side
   52,191x = 13,533,832,225
5. Step 5: Solve for x
   x = 13,533,832,225/52,191
6. Step 6: Final answer
   x = 259,313.53