Finding the Third Proportional to 76,732 and 113,046

Step by Step Solution

1. Step 1: Write the proportion equation
   76,732 : 113,046 = 113,046 : x
2. Step 2: Convert to fraction form
   76,732/113,046 = 113,046/x
3. Step 3: Cross multiply
   76,732x = 113,046 × 113,046
4. Step 4: Simplify right side
   76,732x = 12,779,398,116
5. Step 5: Solve for x
   x = 12,779,398,116/76,732
6. Step 6: Final answer
   x = 166,545.88