Finding the Third Proportional to 261,547.50 and 404,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   261,547.50 : 404,152.50 = 404,152.50 : x
2. Step 2: Convert to fraction form
   261,547.50/404,152.50 = 404,152.50/x
3. Step 3: Cross multiply
   261,547.50x = 404,152.50 × 404,152.50
4. Step 4: Simplify right side
   261,547.50x = 163,339,243,256.25
5. Step 5: Solve for x
   x = 163,339,243,256.25/261,547.50
6. Step 6: Final answer
   x = 624,510.82