Finding the Third Proportional to 56,340 and 78,772.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,340 : 78,772.50 = 78,772.50 : x
2. Step 2: Convert to fraction form
   56,340/78,772.50 = 78,772.50/x
3. Step 3: Cross multiply
   56,340x = 78,772.50 × 78,772.50
4. Step 4: Simplify right side
   56,340x = 6,205,106,756.25
5. Step 5: Solve for x
   x = 6,205,106,756.25/56,340
6. Step 6: Final answer
   x = 110,136.79