Finding the Third Proportional to 52,116 and 80,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,116 : 80,746.50 = 80,746.50 : x
2. Step 2: Convert to fraction form
   52,116/80,746.50 = 80,746.50/x
3. Step 3: Cross multiply
   52,116x = 80,746.50 × 80,746.50
4. Step 4: Simplify right side
   52,116x = 6,519,997,262.25
5. Step 5: Solve for x
   x = 6,519,997,262.25/52,116
6. Step 6: Final answer
   x = 125,105.48