Finding the Third Proportional to 152,016 and 235,405.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,016 : 235,405.50 = 235,405.50 : x
2. Step 2: Convert to fraction form
   152,016/235,405.50 = 235,405.50/x
3. Step 3: Cross multiply
   152,016x = 235,405.50 × 235,405.50
4. Step 4: Simplify right side
   152,016x = 55,415,749,430.25
5. Step 5: Solve for x
   x = 55,415,749,430.25/152,016
6. Step 6: Final answer
   x = 364,538.93