Finding the Third Proportional to 52,809.50 and 117,426

Step by Step Solution

1. Step 1: Write the proportion equation
   52,809.50 : 117,426 = 117,426 : x
2. Step 2: Convert to fraction form
   52,809.50/117,426 = 117,426/x
3. Step 3: Cross multiply
   52,809.50x = 117,426 × 117,426
4. Step 4: Simplify right side
   52,809.50x = 13,788,865,476
5. Step 5: Solve for x
   x = 13,788,865,476/52,809.50
6. Step 6: Final answer
   x = 261,105.78