Finding the Third Proportional to 233,178.75 and 510,097.50

Step by Step Solution

1. Step 1: Write the proportion equation
   233,178.75 : 510,097.50 = 510,097.50 : x
2. Step 2: Convert to fraction form
   233,178.75/510,097.50 = 510,097.50/x
3. Step 3: Cross multiply
   233,178.75x = 510,097.50 × 510,097.50
4. Step 4: Simplify right side
   233,178.75x = 260,199,459,506.25
5. Step 5: Solve for x
   x = 260,199,459,506.25/233,178.75
6. Step 6: Final answer
   x = 1,115,879.81