Finding the Third Proportional to 47,547 and 80,878.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,547 : 80,878.50 = 80,878.50 : x
2. Step 2: Convert to fraction form
   47,547/80,878.50 = 80,878.50/x
3. Step 3: Cross multiply
   47,547x = 80,878.50 × 80,878.50
4. Step 4: Simplify right side
   47,547x = 6,541,331,762.25
5. Step 5: Solve for x
   x = 6,541,331,762.25/47,547
6. Step 6: Final answer
   x = 137,576.12