Finding the Third Proportional to 158,188.50 and 241,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   158,188.50 : 241,978.50 = 241,978.50 : x
2. Step 2: Convert to fraction form
   158,188.50/241,978.50 = 241,978.50/x
3. Step 3: Cross multiply
   158,188.50x = 241,978.50 × 241,978.50
4. Step 4: Simplify right side
   158,188.50x = 58,553,594,462.25
5. Step 5: Solve for x
   x = 58,553,594,462.25/158,188.50
6. Step 6: Final answer
   x = 370,150.77