Finding the Third Proportional to 101,071 and 158,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,071 : 158,077.50 = 158,077.50 : x
2. Step 2: Convert to fraction form
   101,071/158,077.50 = 158,077.50/x
3. Step 3: Cross multiply
   101,071x = 158,077.50 × 158,077.50
4. Step 4: Simplify right side
   101,071x = 24,988,496,006.25
5. Step 5: Solve for x
   x = 24,988,496,006.25/101,071
6. Step 6: Final answer
   x = 247,237.05