Finding the Third Proportional to 434,965 and 612,517.50

Step by Step Solution

1. Step 1: Write the proportion equation
   434,965 : 612,517.50 = 612,517.50 : x
2. Step 2: Convert to fraction form
   434,965/612,517.50 = 612,517.50/x
3. Step 3: Cross multiply
   434,965x = 612,517.50 × 612,517.50
4. Step 4: Simplify right side
   434,965x = 375,177,687,806.25
5. Step 5: Solve for x
   x = 375,177,687,806.25/434,965
6. Step 6: Final answer
   x = 862,546.84