Finding the Third Proportional to 101,077 and 156,947.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,077 : 156,947.50 = 156,947.50 : x
2. Step 2: Convert to fraction form
   101,077/156,947.50 = 156,947.50/x
3. Step 3: Cross multiply
   101,077x = 156,947.50 × 156,947.50
4. Step 4: Simplify right side
   101,077x = 24,632,517,756.25
5. Step 5: Solve for x
   x = 24,632,517,756.25/101,077
6. Step 6: Final answer
   x = 243,700.52