Finding the Third Proportional to 101,714 and 157,363.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,714 : 157,363.50 = 157,363.50 : x
2. Step 2: Convert to fraction form
   101,714/157,363.50 = 157,363.50/x
3. Step 3: Cross multiply
   101,714x = 157,363.50 × 157,363.50
4. Step 4: Simplify right side
   101,714x = 24,763,271,132.25
5. Step 5: Solve for x
   x = 24,763,271,132.25/101,714
6. Step 6: Final answer
   x = 243,459.81