Finding the Third Proportional to 49,211.50 and 78,342

Step by Step Solution

1. Step 1: Write the proportion equation
   49,211.50 : 78,342 = 78,342 : x
2. Step 2: Convert to fraction form
   49,211.50/78,342 = 78,342/x
3. Step 3: Cross multiply
   49,211.50x = 78,342 × 78,342
4. Step 4: Simplify right side
   49,211.50x = 6,137,468,964
5. Step 5: Solve for x
   x = 6,137,468,964/49,211.50
6. Step 6: Final answer
   x = 124,716.15