Finding the Third Proportional to 307,403 and 470,432.50

Step by Step Solution

1. Step 1: Write the proportion equation
   307,403 : 470,432.50 = 470,432.50 : x
2. Step 2: Convert to fraction form
   307,403/470,432.50 = 470,432.50/x
3. Step 3: Cross multiply
   307,403x = 470,432.50 × 470,432.50
4. Step 4: Simplify right side
   307,403x = 221,306,737,056.25
5. Step 5: Solve for x
   x = 221,306,737,056.25/307,403
6. Step 6: Final answer
   x = 719,923.80