Finding the Third Proportional to 47,886.25 and 97,139.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,886.25 : 97,139.50 = 97,139.50 : x
2. Step 2: Convert to fraction form
   47,886.25/97,139.50 = 97,139.50/x
3. Step 3: Cross multiply
   47,886.25x = 97,139.50 × 97,139.50
4. Step 4: Simplify right side
   47,886.25x = 9,436,082,460.25
5. Step 5: Solve for x
   x = 9,436,082,460.25/47,886.25
6. Step 6: Final answer
   x = 197,052.02