Finding the Third Proportional to 186,490 and 402,463.75

Step by Step Solution

1. Step 1: Write the proportion equation
   186,490 : 402,463.75 = 402,463.75 : x
2. Step 2: Convert to fraction form
   186,490/402,463.75 = 402,463.75/x
3. Step 3: Cross multiply
   186,490x = 402,463.75 × 402,463.75
4. Step 4: Simplify right side
   186,490x = 161,977,070,064.06
5. Step 5: Solve for x
   x = 161,977,070,064.06/186,490
6. Step 6: Final answer
   x = 868,556.33