Finding the Third Proportional to 75,747 and 112,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,747 : 112,162.50 = 112,162.50 : x
2. Step 2: Convert to fraction form
   75,747/112,162.50 = 112,162.50/x
3. Step 3: Cross multiply
   75,747x = 112,162.50 × 112,162.50
4. Step 4: Simplify right side
   75,747x = 12,580,426,406.25
5. Step 5: Solve for x
   x = 12,580,426,406.25/75,747
6. Step 6: Final answer
   x = 166,084.81