Finding the Third Proportional to 101,078 and 156,947

Step by Step Solution

1. Step 1: Write the proportion equation
   101,078 : 156,947 = 156,947 : x
2. Step 2: Convert to fraction form
   101,078/156,947 = 156,947/x
3. Step 3: Cross multiply
   101,078x = 156,947 × 156,947
4. Step 4: Simplify right side
   101,078x = 24,632,360,809
5. Step 5: Solve for x
   x = 24,632,360,809/101,078
6. Step 6: Final answer
   x = 243,696.56