Finding the Third Proportional to 387,184.50 and 830,401.50

Step by Step Solution

1. Step 1: Write the proportion equation
   387,184.50 : 830,401.50 = 830,401.50 : x
2. Step 2: Convert to fraction form
   387,184.50/830,401.50 = 830,401.50/x
3. Step 3: Cross multiply
   387,184.50x = 830,401.50 × 830,401.50
4. Step 4: Simplify right side
   387,184.50x = 689,566,651,202.25
5. Step 5: Solve for x
   x = 689,566,651,202.25/387,184.50
6. Step 6: Final answer
   x = 1,780,976.90