Finding the Third Proportional to 47,891 and 97,150.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,891 : 97,150.50 = 97,150.50 : x
2. Step 2: Convert to fraction form
   47,891/97,150.50 = 97,150.50/x
3. Step 3: Cross multiply
   47,891x = 97,150.50 × 97,150.50
4. Step 4: Simplify right side
   47,891x = 9,438,219,650.25
5. Step 5: Solve for x
   x = 9,438,219,650.25/47,891
6. Step 6: Final answer
   x = 197,077.11