Finding the Third Proportional to 49,257 and 78,421.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,257 : 78,421.50 = 78,421.50 : x
2. Step 2: Convert to fraction form
   49,257/78,421.50 = 78,421.50/x
3. Step 3: Cross multiply
   49,257x = 78,421.50 × 78,421.50
4. Step 4: Simplify right side
   49,257x = 6,149,931,662.25
5. Step 5: Solve for x
   x = 6,149,931,662.25/49,257
6. Step 6: Final answer
   x = 124,853.96