Finding the Third Proportional to 49,356 and 70,342.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,356 : 70,342.50 = 70,342.50 : x
2. Step 2: Convert to fraction form
   49,356/70,342.50 = 70,342.50/x
3. Step 3: Cross multiply
   49,356x = 70,342.50 × 70,342.50
4. Step 4: Simplify right side
   49,356x = 4,948,067,306.25
5. Step 5: Solve for x
   x = 4,948,067,306.25/49,356
6. Step 6: Final answer
   x = 100,252.60