Finding the Third Proportional to 101,459 and 157,714.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,459 : 157,714.50 = 157,714.50 : x
2. Step 2: Convert to fraction form
   101,459/157,714.50 = 157,714.50/x
3. Step 3: Cross multiply
   101,459x = 157,714.50 × 157,714.50
4. Step 4: Simplify right side
   101,459x = 24,873,863,510.25
5. Step 5: Solve for x
   x = 24,873,863,510.25/101,459
6. Step 6: Final answer
   x = 245,161.73