Finding the Third Proportional to 314,499 and 419,005.50

Step by Step Solution

1. Step 1: Write the proportion equation
   314,499 : 419,005.50 = 419,005.50 : x
2. Step 2: Convert to fraction form
   314,499/419,005.50 = 419,005.50/x
3. Step 3: Cross multiply
   314,499x = 419,005.50 × 419,005.50
4. Step 4: Simplify right side
   314,499x = 175,565,609,030.25
5. Step 5: Solve for x
   x = 175,565,609,030.25/314,499
6. Step 6: Final answer
   x = 558,239.01