Finding the Third Proportional to 350,199 and 509,989.50

Step by Step Solution

1. Step 1: Write the proportion equation
   350,199 : 509,989.50 = 509,989.50 : x
2. Step 2: Convert to fraction form
   350,199/509,989.50 = 509,989.50/x
3. Step 3: Cross multiply
   350,199x = 509,989.50 × 509,989.50
4. Step 4: Simplify right side
   350,199x = 260,089,290,110.25
5. Step 5: Solve for x
   x = 260,089,290,110.25/350,199
6. Step 6: Final answer
   x = 742,689.99