Finding the Third Proportional to 147,978 and 231,883.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,978 : 231,883.50 = 231,883.50 : x
2. Step 2: Convert to fraction form
   147,978/231,883.50 = 231,883.50/x
3. Step 3: Cross multiply
   147,978x = 231,883.50 × 231,883.50
4. Step 4: Simplify right side
   147,978x = 53,769,957,572.25
5. Step 5: Solve for x
   x = 53,769,957,572.25/147,978
6. Step 6: Final answer
   x = 363,364.54