Finding the Third Proportional to 364,729 and 785,636.50

Step by Step Solution

1. Step 1: Write the proportion equation
   364,729 : 785,636.50 = 785,636.50 : x
2. Step 2: Convert to fraction form
   364,729/785,636.50 = 785,636.50/x
3. Step 3: Cross multiply
   364,729x = 785,636.50 × 785,636.50
4. Step 4: Simplify right side
   364,729x = 617,224,710,132.25
5. Step 5: Solve for x
   x = 617,224,710,132.25/364,729
6. Step 6: Final answer
   x = 1,692,283.07