Finding the Third Proportional to 100,309 and 152,433.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,309 : 152,433.50 = 152,433.50 : x
2. Step 2: Convert to fraction form
   100,309/152,433.50 = 152,433.50/x
3. Step 3: Cross multiply
   100,309x = 152,433.50 × 152,433.50
4. Step 4: Simplify right side
   100,309x = 23,235,971,922.25
5. Step 5: Solve for x
   x = 23,235,971,922.25/100,309
6. Step 6: Final answer
   x = 231,643.94