Finding the Third Proportional to 47,598.50 and 105,835.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,598.50 : 105,835.50 = 105,835.50 : x
2. Step 2: Convert to fraction form
   47,598.50/105,835.50 = 105,835.50/x
3. Step 3: Cross multiply
   47,598.50x = 105,835.50 × 105,835.50
4. Step 4: Simplify right side
   47,598.50x = 11,201,153,060.25
5. Step 5: Solve for x
   x = 11,201,153,060.25/47,598.50
6. Step 6: Final answer
   x = 235,325.76