Finding the Third Proportional to 106,416 and 158,701.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,416 : 158,701.50 = 158,701.50 : x
2. Step 2: Convert to fraction form
   106,416/158,701.50 = 158,701.50/x
3. Step 3: Cross multiply
   106,416x = 158,701.50 × 158,701.50
4. Step 4: Simplify right side
   106,416x = 25,186,166,102.25
5. Step 5: Solve for x
   x = 25,186,166,102.25/106,416
6. Step 6: Final answer
   x = 236,676.50