Finding the Third Proportional to 107,322.50 and 233,097.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,322.50 : 233,097.50 = 233,097.50 : x
2. Step 2: Convert to fraction form
   107,322.50/233,097.50 = 233,097.50/x
3. Step 3: Cross multiply
   107,322.50x = 233,097.50 × 233,097.50
4. Step 4: Simplify right side
   107,322.50x = 54,334,444,506.25
5. Step 5: Solve for x
   x = 54,334,444,506.25/107,322.50
6. Step 6: Final answer
   x = 506,272.63