Finding the Third Proportional to 75,753 and 112,171.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,753 : 112,171.50 = 112,171.50 : x
2. Step 2: Convert to fraction form
   75,753/112,171.50 = 112,171.50/x
3. Step 3: Cross multiply
   75,753x = 112,171.50 × 112,171.50
4. Step 4: Simplify right side
   75,753x = 12,582,445,412.25
5. Step 5: Solve for x
   x = 12,582,445,412.25/75,753
6. Step 6: Final answer
   x = 166,098.31