Finding the Third Proportional to 175,513.50 and 288,298.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,513.50 : 288,298.50 = 288,298.50 : x
2. Step 2: Convert to fraction form
   175,513.50/288,298.50 = 288,298.50/x
3. Step 3: Cross multiply
   175,513.50x = 288,298.50 × 288,298.50
4. Step 4: Simplify right side
   175,513.50x = 83,116,025,102.25
5. Step 5: Solve for x
   x = 83,116,025,102.25/175,513.50
6. Step 6: Final answer
   x = 473,559.16