Finding the Third Proportional to 51,962 and 78,314.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,962 : 78,314.50 = 78,314.50 : x
2. Step 2: Convert to fraction form
   51,962/78,314.50 = 78,314.50/x
3. Step 3: Cross multiply
   51,962x = 78,314.50 × 78,314.50
4. Step 4: Simplify right side
   51,962x = 6,133,160,910.25
5. Step 5: Solve for x
   x = 6,133,160,910.25/51,962
6. Step 6: Final answer
   x = 118,031.66