Finding the Third Proportional to 253,441 and 342,102.50

Step by Step Solution

1. Step 1: Write the proportion equation
   253,441 : 342,102.50 = 342,102.50 : x
2. Step 2: Convert to fraction form
   253,441/342,102.50 = 342,102.50/x
3. Step 3: Cross multiply
   253,441x = 342,102.50 × 342,102.50
4. Step 4: Simplify right side
   253,441x = 117,034,120,506.25
5. Step 5: Solve for x
   x = 117,034,120,506.25/253,441
6. Step 6: Final answer
   x = 461,780.53