Finding the Third Proportional to 48,688 and 75,181.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,688 : 75,181.50 = 75,181.50 : x
2. Step 2: Convert to fraction form
   48,688/75,181.50 = 75,181.50/x
3. Step 3: Cross multiply
   48,688x = 75,181.50 × 75,181.50
4. Step 4: Simplify right side
   48,688x = 5,652,257,942.25
5. Step 5: Solve for x
   x = 5,652,257,942.25/48,688
6. Step 6: Final answer
   x = 116,091.40