Finding the Third Proportional to 101,024 and 158,476.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,024 : 158,476.50 = 158,476.50 : x
2. Step 2: Convert to fraction form
   101,024/158,476.50 = 158,476.50/x
3. Step 3: Cross multiply
   101,024x = 158,476.50 × 158,476.50
4. Step 4: Simplify right side
   101,024x = 25,114,801,052.25
5. Step 5: Solve for x
   x = 25,114,801,052.25/101,024
6. Step 6: Final answer
   x = 248,602.32