Finding the Third Proportional to 186,322.50 and 402,408

Step by Step Solution

1. Step 1: Write the proportion equation
   186,322.50 : 402,408 = 402,408 : x
2. Step 2: Convert to fraction form
   186,322.50/402,408 = 402,408/x
3. Step 3: Cross multiply
   186,322.50x = 402,408 × 402,408
4. Step 4: Simplify right side
   186,322.50x = 161,932,198,464
5. Step 5: Solve for x
   x = 161,932,198,464/186,322.50
6. Step 6: Final answer
   x = 869,096.32