Finding the Third Proportional to 186,330 and 402,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   186,330 : 402,164.50 = 402,164.50 : x
2. Step 2: Convert to fraction form
   186,330/402,164.50 = 402,164.50/x
3. Step 3: Cross multiply
   186,330x = 402,164.50 × 402,164.50
4. Step 4: Simplify right side
   186,330x = 161,736,285,060.25
5. Step 5: Solve for x
   x = 161,736,285,060.25/186,330
6. Step 6: Final answer
   x = 868,009.90