Finding the Third Proportional to 29,978 and 64,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,978 : 64,758.50 = 64,758.50 : x
2. Step 2: Convert to fraction form
   29,978/64,758.50 = 64,758.50/x
3. Step 3: Cross multiply
   29,978x = 64,758.50 × 64,758.50
4. Step 4: Simplify right side
   29,978x = 4,193,663,322.25
5. Step 5: Solve for x
   x = 4,193,663,322.25/29,978
6. Step 6: Final answer
   x = 139,891.36