Finding the Third Proportional to 98,142 and 155,656.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,142 : 155,656.50 = 155,656.50 : x
2. Step 2: Convert to fraction form
   98,142/155,656.50 = 155,656.50/x
3. Step 3: Cross multiply
   98,142x = 155,656.50 × 155,656.50
4. Step 4: Simplify right side
   98,142x = 24,228,945,992.25
5. Step 5: Solve for x
   x = 24,228,945,992.25/98,142
6. Step 6: Final answer
   x = 246,876.42