Finding the Third Proportional to 380,223 and 830,560.50

Step by Step Solution

1. Step 1: Write the proportion equation
   380,223 : 830,560.50 = 830,560.50 : x
2. Step 2: Convert to fraction form
   380,223/830,560.50 = 830,560.50/x
3. Step 3: Cross multiply
   380,223x = 830,560.50 × 830,560.50
4. Step 4: Simplify right side
   380,223x = 689,830,744,160.25
5. Step 5: Solve for x
   x = 689,830,744,160.25/380,223
6. Step 6: Final answer
   x = 1,814,279.37