Finding the Third Proportional to 181,116 and 385,618.50

Step by Step Solution

1. Step 1: Write the proportion equation
   181,116 : 385,618.50 = 385,618.50 : x
2. Step 2: Convert to fraction form
   181,116/385,618.50 = 385,618.50/x
3. Step 3: Cross multiply
   181,116x = 385,618.50 × 385,618.50
4. Step 4: Simplify right side
   181,116x = 148,701,627,542.25
5. Step 5: Solve for x
   x = 148,701,627,542.25/181,116
6. Step 6: Final answer
   x = 821,029.77