Finding the Third Proportional to 357,769 and 501,406.50

Step by Step Solution

1. Step 1: Write the proportion equation
   357,769 : 501,406.50 = 501,406.50 : x
2. Step 2: Convert to fraction form
   357,769/501,406.50 = 501,406.50/x
3. Step 3: Cross multiply
   357,769x = 501,406.50 × 501,406.50
4. Step 4: Simplify right side
   357,769x = 251,408,478,242.25
5. Step 5: Solve for x
   x = 251,408,478,242.25/357,769
6. Step 6: Final answer
   x = 702,711.74