Finding the Third Proportional to 100,412 and 155,478.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,412 : 155,478.50 = 155,478.50 : x
2. Step 2: Convert to fraction form
   100,412/155,478.50 = 155,478.50/x
3. Step 3: Cross multiply
   100,412x = 155,478.50 × 155,478.50
4. Step 4: Simplify right side
   100,412x = 24,173,563,962.25
5. Step 5: Solve for x
   x = 24,173,563,962.25/100,412
6. Step 6: Final answer
   x = 240,743.78