Finding the Third Proportional to 51,807 and 78,722.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,807 : 78,722.50 = 78,722.50 : x
2. Step 2: Convert to fraction form
   51,807/78,722.50 = 78,722.50/x
3. Step 3: Cross multiply
   51,807x = 78,722.50 × 78,722.50
4. Step 4: Simplify right side
   51,807x = 6,197,232,006.25
5. Step 5: Solve for x
   x = 6,197,232,006.25/51,807
6. Step 6: Final answer
   x = 119,621.52