Finding the Third Proportional to 48,192 and 74,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,192 : 74,164.50 = 74,164.50 : x
2. Step 2: Convert to fraction form
   48,192/74,164.50 = 74,164.50/x
3. Step 3: Cross multiply
   48,192x = 74,164.50 × 74,164.50
4. Step 4: Simplify right side
   48,192x = 5,500,373,060.25
5. Step 5: Solve for x
   x = 5,500,373,060.25/48,192
6. Step 6: Final answer
   x = 114,134.57