Finding the Third Proportional to 107,098.50 and 233,277

Step by Step Solution

1. Step 1: Write the proportion equation
   107,098.50 : 233,277 = 233,277 : x
2. Step 2: Convert to fraction form
   107,098.50/233,277 = 233,277/x
3. Step 3: Cross multiply
   107,098.50x = 233,277 × 233,277
4. Step 4: Simplify right side
   107,098.50x = 54,418,158,729
5. Step 5: Solve for x
   x = 54,418,158,729/107,098.50
6. Step 6: Final answer
   x = 508,113.17