Finding the Third Proportional to 180,927 and 385,900.50

Step by Step Solution

1. Step 1: Write the proportion equation
   180,927 : 385,900.50 = 385,900.50 : x
2. Step 2: Convert to fraction form
   180,927/385,900.50 = 385,900.50/x
3. Step 3: Cross multiply
   180,927x = 385,900.50 × 385,900.50
4. Step 4: Simplify right side
   180,927x = 148,919,195,900.25
5. Step 5: Solve for x
   x = 148,919,195,900.25/180,927
6. Step 6: Final answer
   x = 823,089.95