Finding the Third Proportional to 100,141.25 and 154,627.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,141.25 : 154,627.50 = 154,627.50 : x
2. Step 2: Convert to fraction form
   100,141.25/154,627.50 = 154,627.50/x
3. Step 3: Cross multiply
   100,141.25x = 154,627.50 × 154,627.50
4. Step 4: Simplify right side
   100,141.25x = 23,909,663,756.25
5. Step 5: Solve for x
   x = 23,909,663,756.25/100,141.25
6. Step 6: Final answer
   x = 238,759.39