Finding the Third Proportional to 52,562 and 116,788

Step by Step Solution

1. Step 1: Write the proportion equation
   52,562 : 116,788 = 116,788 : x
2. Step 2: Convert to fraction form
   52,562/116,788 = 116,788/x
3. Step 3: Cross multiply
   52,562x = 116,788 × 116,788
4. Step 4: Simplify right side
   52,562x = 13,639,436,944
5. Step 5: Solve for x
   x = 13,639,436,944/52,562
6. Step 6: Final answer
   x = 259,492.35