Finding the Third Proportional to 43,776 and 85,363.50

Step by Step Solution

1. Step 1: Write the proportion equation
   43,776 : 85,363.50 = 85,363.50 : x
2. Step 2: Convert to fraction form
   43,776/85,363.50 = 85,363.50/x
3. Step 3: Cross multiply
   43,776x = 85,363.50 × 85,363.50
4. Step 4: Simplify right side
   43,776x = 7,286,927,132.25
5. Step 5: Solve for x
   x = 7,286,927,132.25/43,776
6. Step 6: Final answer
   x = 166,459.41