Finding the Third Proportional to 107,314.50 and 233,097

Step by Step Solution

1. Step 1: Write the proportion equation
   107,314.50 : 233,097 = 233,097 : x
2. Step 2: Convert to fraction form
   107,314.50/233,097 = 233,097/x
3. Step 3: Cross multiply
   107,314.50x = 233,097 × 233,097
4. Step 4: Simplify right side
   107,314.50x = 54,334,211,409
5. Step 5: Solve for x
   x = 54,334,211,409/107,314.50
6. Step 6: Final answer
   x = 506,308.20