Finding the Third Proportional to 180,925 and 385,896.50

Step by Step Solution

1. Step 1: Write the proportion equation
   180,925 : 385,896.50 = 385,896.50 : x
2. Step 2: Convert to fraction form
   180,925/385,896.50 = 385,896.50/x
3. Step 3: Cross multiply
   180,925x = 385,896.50 × 385,896.50
4. Step 4: Simplify right side
   180,925x = 148,916,108,712.25
5. Step 5: Solve for x
   x = 148,916,108,712.25/180,925
6. Step 6: Final answer
   x = 823,081.99