Finding the Third Proportional to 186,930 and 405,409.50

Step by Step Solution

1. Step 1: Write the proportion equation
   186,930 : 405,409.50 = 405,409.50 : x
2. Step 2: Convert to fraction form
   186,930/405,409.50 = 405,409.50/x
3. Step 3: Cross multiply
   186,930x = 405,409.50 × 405,409.50
4. Step 4: Simplify right side
   186,930x = 164,356,862,690.25
5. Step 5: Solve for x
   x = 164,356,862,690.25/186,930
6. Step 6: Final answer
   x = 879,242.83