Finding the Third Proportional to 325,882 and 477,156.50

Step by Step Solution

1. Step 1: Write the proportion equation
   325,882 : 477,156.50 = 477,156.50 : x
2. Step 2: Convert to fraction form
   325,882/477,156.50 = 477,156.50/x
3. Step 3: Cross multiply
   325,882x = 477,156.50 × 477,156.50
4. Step 4: Simplify right side
   325,882x = 227,678,325,492.25
5. Step 5: Solve for x
   x = 227,678,325,492.25/325,882
6. Step 6: Final answer
   x = 698,652.66