Finding the Third Proportional to 309,321 and 463,837.50

Step by Step Solution

1. Step 1: Write the proportion equation
   309,321 : 463,837.50 = 463,837.50 : x
2. Step 2: Convert to fraction form
   309,321/463,837.50 = 463,837.50/x
3. Step 3: Cross multiply
   309,321x = 463,837.50 × 463,837.50
4. Step 4: Simplify right side
   309,321x = 215,145,226,406.25
5. Step 5: Solve for x
   x = 215,145,226,406.25/309,321
6. Step 6: Final answer
   x = 695,540.32