Finding the Third Proportional to 386,194.50 and 830,502

Step by Step Solution

1. Step 1: Write the proportion equation
   386,194.50 : 830,502 = 830,502 : x
2. Step 2: Convert to fraction form
   386,194.50/830,502 = 830,502/x
3. Step 3: Cross multiply
   386,194.50x = 830,502 × 830,502
4. Step 4: Simplify right side
   386,194.50x = 689,733,572,004
5. Step 5: Solve for x
   x = 689,733,572,004/386,194.50
6. Step 6: Final answer
   x = 1,785,974.61