Finding the Third Proportional to 344,319 and 461,803.50

Step by Step Solution

1. Step 1: Write the proportion equation
   344,319 : 461,803.50 = 461,803.50 : x
2. Step 2: Convert to fraction form
   344,319/461,803.50 = 461,803.50/x
3. Step 3: Cross multiply
   344,319x = 461,803.50 × 461,803.50
4. Step 4: Simplify right side
   344,319x = 213,262,472,612.25
5. Step 5: Solve for x
   x = 213,262,472,612.25/344,319
6. Step 6: Final answer
   x = 619,374.69