Finding the Third Proportional to 100,444 and 155,527.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,444 : 155,527.50 = 155,527.50 : x
2. Step 2: Convert to fraction form
   100,444/155,527.50 = 155,527.50/x
3. Step 3: Cross multiply
   100,444x = 155,527.50 × 155,527.50
4. Step 4: Simplify right side
   100,444x = 24,188,803,256.25
5. Step 5: Solve for x
   x = 24,188,803,256.25/100,444
6. Step 6: Final answer
   x = 240,818.80