Finding the Third Proportional to 100,454 and 155,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,454 : 155,642.50 = 155,642.50 : x
2. Step 2: Convert to fraction form
   100,454/155,642.50 = 155,642.50/x
3. Step 3: Cross multiply
   100,454x = 155,642.50 × 155,642.50
4. Step 4: Simplify right side
   100,454x = 24,224,587,806.25
5. Step 5: Solve for x
   x = 24,224,587,806.25/100,454
6. Step 6: Final answer
   x = 241,151.05