Finding the Third Proportional to 47,749.50 and 97,888.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,749.50 : 97,888.50 = 97,888.50 : x
2. Step 2: Convert to fraction form
   47,749.50/97,888.50 = 97,888.50/x
3. Step 3: Cross multiply
   47,749.50x = 97,888.50 × 97,888.50
4. Step 4: Simplify right side
   47,749.50x = 9,582,158,432.25
5. Step 5: Solve for x
   x = 9,582,158,432.25/47,749.50
6. Step 6: Final answer
   x = 200,675.58