Finding the Third Proportional to 66,766 and 103,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   66,766 : 103,978.50 = 103,978.50 : x
2. Step 2: Convert to fraction form
   66,766/103,978.50 = 103,978.50/x
3. Step 3: Cross multiply
   66,766x = 103,978.50 × 103,978.50
4. Step 4: Simplify right side
   66,766x = 10,811,528,462.25
5. Step 5: Solve for x
   x = 10,811,528,462.25/66,766
6. Step 6: Final answer
   x = 161,931.65