Finding the Third Proportional to 357,709.50 and 501,363

Step by Step Solution

1. Step 1: Write the proportion equation
   357,709.50 : 501,363 = 501,363 : x
2. Step 2: Convert to fraction form
   357,709.50/501,363 = 501,363/x
3. Step 3: Cross multiply
   357,709.50x = 501,363 × 501,363
4. Step 4: Simplify right side
   357,709.50x = 251,364,857,769
5. Step 5: Solve for x
   x = 251,364,857,769/357,709.50
6. Step 6: Final answer
   x = 702,706.69