Finding the Third Proportional to 386,527.50 and 830,196

Step by Step Solution

1. Step 1: Write the proportion equation
   386,527.50 : 830,196 = 830,196 : x
2. Step 2: Convert to fraction form
   386,527.50/830,196 = 830,196/x
3. Step 3: Cross multiply
   386,527.50x = 830,196 × 830,196
4. Step 4: Simplify right side
   386,527.50x = 689,225,398,416
5. Step 5: Solve for x
   x = 689,225,398,416/386,527.50
6. Step 6: Final answer
   x = 1,783,121.25