Finding the Third Proportional to 186,510 and 402,501

Step by Step Solution

1. Step 1: Write the proportion equation
   186,510 : 402,501 = 402,501 : x
2. Step 2: Convert to fraction form
   186,510/402,501 = 402,501/x
3. Step 3: Cross multiply
   186,510x = 402,501 × 402,501
4. Step 4: Simplify right side
   186,510x = 162,007,055,001
5. Step 5: Solve for x
   x = 162,007,055,001/186,510
6. Step 6: Final answer
   x = 868,623.96