Finding the Third Proportional to 380,582 and 788,140.50

Step by Step Solution

1. Step 1: Write the proportion equation
   380,582 : 788,140.50 = 788,140.50 : x
2. Step 2: Convert to fraction form
   380,582/788,140.50 = 788,140.50/x
3. Step 3: Cross multiply
   380,582x = 788,140.50 × 788,140.50
4. Step 4: Simplify right side
   380,582x = 621,165,447,740.25
5. Step 5: Solve for x
   x = 621,165,447,740.25/380,582
6. Step 6: Final answer
   x = 1,632,146.15