Finding the Third Proportional to 51,747 and 78,592.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,747 : 78,592.50 = 78,592.50 : x
2. Step 2: Convert to fraction form
   51,747/78,592.50 = 78,592.50/x
3. Step 3: Cross multiply
   51,747x = 78,592.50 × 78,592.50
4. Step 4: Simplify right side
   51,747x = 6,176,781,056.25
5. Step 5: Solve for x
   x = 6,176,781,056.25/51,747
6. Step 6: Final answer
   x = 119,365.01