Finding the Third Proportional to 387,185.50 and 830,403.50

Step by Step Solution

1. Step 1: Write the proportion equation
   387,185.50 : 830,403.50 = 830,403.50 : x
2. Step 2: Convert to fraction form
   387,185.50/830,403.50 = 830,403.50/x
3. Step 3: Cross multiply
   387,185.50x = 830,403.50 × 830,403.50
4. Step 4: Simplify right side
   387,185.50x = 689,569,972,812.25
5. Step 5: Solve for x
   x = 689,569,972,812.25/387,185.50
6. Step 6: Final answer
   x = 1,780,980.88