Finding the Third Proportional to 280,089 and 402,637.50

Step by Step Solution

1. Step 1: Write the proportion equation
   280,089 : 402,637.50 = 402,637.50 : x
2. Step 2: Convert to fraction form
   280,089/402,637.50 = 402,637.50/x
3. Step 3: Cross multiply
   280,089x = 402,637.50 × 402,637.50
4. Step 4: Simplify right side
   280,089x = 162,116,956,406.25
5. Step 5: Solve for x
   x = 162,116,956,406.25/280,089
6. Step 6: Final answer
   x = 578,805.15